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Rui Vilela Mendes. Concluiu o(a) Título de Agregado em N/A em 1980 pelo(a) Universidade de Lisboa Faculdade de Ciências e Doctor of Philosophy em Physics em 1970 pelo(a) The University of Texas at Austin Department of Physics. Publicou 126 artigos em revistas especializadas. Possui 2 livro(s). Atua na(s) área(s) de Ciências Exatas com ênfase em Matemática.
Identification

Personal identification

Full name
Rui Vilela Mendes

Citation names

  • Vilela Mendes, Rui

Author identifiers

Ciência ID
441A-C87C-8692
ORCID iD
0000-0002-4920-9214

Knowledge fields

  • Exact Sciences - Mathematics

Languages

Language Speaking Reading Writing Listening Peer-review
Portuguese Advanced (C1) Advanced (C1) Advanced (C1) Advanced (C1)
English Intermediate (B1) Intermediate (B1) Intermediate (B1) Intermediate (B1)
French Intermediate (B1) Intermediate (B1) Intermediate (B1) Intermediate (B1)
Education
Degree Classification
1980
Concluded
 Matemática (Título de Agregado)
Universidade de Lisboa Faculdade de Ciências, Portugal
"N/A" (THESIS/DISSERTATION)
 N/A
1970
Concluded
 Physics (Doctor of Philosophy)
The University of Texas at Austin Department of Physics, United States
"Representations of local currents and related algebras" (THESIS/DISSERTATION)
 n/a
Affiliation

Science

Category
Host institution 		Employer
2015 - 2018 Coordinating Researcher (Research) Universidade de Lisboa Centro de Matemática Aplicações Fundamentais e Investigação Operacional, Portugal
2015 - 2018 Coordinating Researcher (Research) Instituto de Plasmas e Fusão Nuclear, Portugal
2008 - 2013 Principal Investigator (Research) Universidade de Lisboa Unidade de Investigação sobre Complexidade e Economia, Portugal
2007 - 2013 Coordinating Researcher (Research) Universidade de Lisboa, Portugal
2007 - 2013 Coordinating Researcher (Research) Instituto de Plasmas e Fusão Nuclear, Portugal
1993/01/01 - 2008/08/20 Coordinating Researcher (Research) Universidade de Lisboa, Portugal
2008 - 2008 Coordinating Researcher (Research) Universidade de Lisboa Faculdade de Ciências, Portugal
2007 - 2007 Coordinating Researcher (Research) Universidade de Lisboa Faculdade de Ciências, Portugal
2007 - 2007 Coordinating Researcher (Research) Universidade de Lisboa Faculdade de Ciências, Portugal
2007 - 2007 Coordinating Researcher (Research) Universidade de Lisboa Unidade de Investigação sobre Complexidade e Economia, Portugal
Projects

Contract

Designation Funders
2021/01/01 - 2025/12/31 Instituto de Plasmas e Fusão Nuclear
LA/P/0061/2020
10.54499/LA/P/0061/2020
Universidade de Lisboa Instituto Superior Técnico, Portugal

Instituto de Plasmas e Fusão Nuclear, Portugal

Associação do Instituto Superior Técnico para a Investigação e Desenvolvimento, Portugal

Universidade da Madeira, Portugal
Fundação para a Ciência e a Tecnologia
Ongoing
2021/01/01 - 2025/12/31 Instituto de Plasmas e Fusão Nuclear
LA/P/0061/2020
10.54499/LA/P/0061/2020
Universidade de Lisboa Instituto Superior Técnico, Portugal

Instituto de Plasmas e Fusão Nuclear, Portugal

Associação do Instituto Superior Técnico para a Investigação e Desenvolvimento, Portugal

Universidade da Madeira, Portugal
Fundação para a Ciência e a Tecnologia
Ongoing
2019/01/01 - 2019/12/31 Centro de Matemática, Aplicações Fundamentais e Investigação Operacional
UID/MAT/04561/2019
FCiênciasID Associação para a Investigação e Desenvolvimento de Ciências, Portugal

Universidade de Lisboa Faculdade de Ciências, Portugal

Fundação da Faculdade de Ciências da Universidade de Lisboa, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2019/01/01 - 2019/12/31 Instituto de Plasmas e Fusão Nuclear
UID/FIS/50010/2019
Universidade de Lisboa Instituto Superior Técnico, Portugal

Instituto de Plasmas e Fusão Nuclear, Portugal

Associação do Instituto Superior Técnico para a Investigação e Desenvolvimento, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2019/01/01 - 2019/12/31 Centro de Matemática, Aplicações Fundamentais e Investigação Operacional
UID/MAT/04561/2019
FCiênciasID Associação para a Investigação e Desenvolvimento de Ciências, Portugal

Universidade de Lisboa Faculdade de Ciências, Portugal

Fundação da Faculdade de Ciências da Universidade de Lisboa, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2019/01/01 - 2019/12/31 Instituto de Plasmas e Fusão Nuclear
UID/FIS/50010/2019
Universidade de Lisboa Instituto Superior Técnico, Portugal

Instituto de Plasmas e Fusão Nuclear, Portugal

Associação do Instituto Superior Técnico para a Investigação e Desenvolvimento, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2013/06/11 - 2015/06/10 Propriedades de "scaling" de polímeros modelados por trajetórias de movimentos brownianos fracionários
PTDC/MAT-STA/1284/2012
Fundação da Faculdade de Ciências da Universidade de Lisboa, Portugal

Universidade de Lisboa Faculdade de Ciências, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2013/06/11 - 2015/06/10 Propriedades de "scaling" de polímeros modelados por trajetórias de movimentos brownianos fracionários
PTDC/MAT-STA/1284/2012
Fundação da Faculdade de Ciências da Universidade de Lisboa, Portugal

Universidade de Lisboa Faculdade de Ciências, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2011/01/01 - 2013/12/31 Projecto Estratégico - UI 436 - 2011-2012
PEst-OE/EGE/UI0436/2011
Universidade de Lisboa Unidade de Investigação sobre Complexidade e Economia, Portugal
 Fundação para a Ciência e a Tecnologia
Concluded
2011/01/01 - 2013/12/31 Projecto Estratégico - UI 436 - 2011-2012
PEst-OE/EGE/UI0436/2011
Universidade de Lisboa Unidade de Investigação sobre Complexidade e Economia, Portugal
 Fundação para a Ciência e a Tecnologia
Concluded
2010/02/01 - 2013/07/31 Evoluções Estocásticas, Evoluções Dissipativas e Mecânica Estatística
PTDC/MAT/100983/2008
Fundação da Faculdade de Ciências da Universidade de Lisboa, Portugal

Universidade de Lisboa Faculdade de Ciências, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2010/02/01 - 2013/07/31 Evoluções Estocásticas, Evoluções Dissipativas e Mecânica Estatística
PTDC/MAT/100983/2008
Fundação da Faculdade de Ciências da Universidade de Lisboa, Portugal

Universidade de Lisboa Faculdade de Ciências, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2011/01/01 - 2012/12/31 Projecto Estratégico - LA 10 - 2011-2012
PEst-OE/FIS/LA0010/2011
Universidade de Lisboa Instituto Superior Técnico, Portugal

Instituto de Plasmas e Fusão Nuclear, Portugal

Associação do Instituto Superior Técnico para a Investigação e Desenvolvimento, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2011/01/01 - 2012/12/31 Projecto Estratégico - UI 209 - 2011-2012
PEst-OE/MAT/UI0209/2011
Fundação da Faculdade de Ciências da Universidade de Lisboa, Portugal

Universidade de Lisboa Centro de Matemática Aplicações Fundamentais e Investigação Operacional, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2011/01/01 - 2012/12/31 Projecto Estratégico - LA 10 - 2011-2012
PEst-OE/FIS/LA0010/2011
Universidade de Lisboa Instituto Superior Técnico, Portugal

Instituto de Plasmas e Fusão Nuclear, Portugal

Associação do Instituto Superior Técnico para a Investigação e Desenvolvimento, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2011/01/01 - 2012/12/31 Projecto Estratégico - UI 209 - 2011-2012
PEst-OE/MAT/UI0209/2011
Fundação da Faculdade de Ciências da Universidade de Lisboa, Portugal

Universidade de Lisboa Centro de Matemática Aplicações Fundamentais e Investigação Operacional, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2010/01/01 - 2012/12/31 Novos algoritmos numéricos paralelos para os actuais e futuros supercomputadores de alto desempenho
PTDC/EIA-CCO/098910/2008
Universidade de Lisboa Instituto Superior Técnico, Portugal

Universidade Nova Centro de Matemática e Aplicações, Portugal

Universidade de Lisboa Faculdade de Ciências, Portugal

Universidade de Lisboa Grupo de Física Matemática, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2010/01/01 - 2012/12/31 Novos algoritmos numéricos paralelos para os actuais e futuros supercomputadores de alto desempenho
PTDC/EIA-CCO/098910/2008
Universidade de Lisboa Instituto Superior Técnico, Portugal

Universidade Nova de Lisboa NOVAMath, Portugal

Universidade de Lisboa Faculdade de Ciências, Portugal

Universidade de Lisboa Grupo de Física Matemática, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2006/09/01 - 2009/12/31 Os mercados financeiros como laboratório da Economia
PDCT/EGE/60193/2004
Universidade de Lisboa Unidade de Investigação sobre Complexidade e Economia, Portugal

ISEG Lisbon School of Economics and Management, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2006/09/01 - 2009/12/31 Os mercados financeiros como laboratório da Economia
PDCT/EGE/60193/2004
Universidade de Lisboa Unidade de Investigação sobre Complexidade e Economia, Portugal

ISEG Lisbon School of Economics and Management, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2005/11/01 - 2008/10/31 Técnicas ergódicas e simbólicas em dinâmica de redes: Teoria e aplicações
PDCT/MAT/57976/2004
Universidade de Lisboa Grupo de Física Matemática, Portugal

Fundação da Faculdade de Ciências da Universidade de Lisboa, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2005/11/01 - 2008/10/31 Técnicas ergódicas e simbólicas em dinâmica de redes: Teoria e aplicações
PDCT/MAT/57976/2004
Universidade de Lisboa Grupo de Física Matemática, Portugal

Fundação da Faculdade de Ciências da Universidade de Lisboa, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2006/03/01 - 2008/05/31 Redes: Modelos da Realidade e Análise Matemática
POCI/MAT/58321/2004
Agência Regional para o Desenvolvimento da Investigação Tecnologia e Inovação, Portugal

Universidade da Madeira, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2006/03/01 - 2008/05/31 Redes: Modelos da Realidade e Análise Matemática
POCI/MAT/58321/2004
Agência Regional para o Desenvolvimento da Investigação Tecnologia e Inovação, Portugal

Universidade da Madeira, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2005/04/24 - 2007/12/31 Evolucoes Geometricas, Evolucoes Estocasticas e Problemas relacionados em Mecanica Estatistica
POCI/MAT/61931/2004
Universidade de Lisboa Faculdade de Ciências, Portugal

Universidade de Lisboa Grupo de Física Matemática, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2005/04/24 - 2007/12/31 Evolucoes Geometricas, Evolucoes Estocasticas e Problemas relacionados em Mecanica Estatistica
POCI/MAT/61931/2004
Universidade de Lisboa Faculdade de Ciências, Portugal

Universidade de Lisboa Grupo de Física Matemática, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2005/10/01 - 2006/09/30 Física Teórica das Altas Energias e as suas Interfaces com a Cosmologia e a Física Nuclear
POCI/FP/63405/2005
Universidade de Lisboa Instituto Superior Técnico, Portugal
 Fundação para a Ciência e a Tecnologia
Concluded
2005/10/01 - 2006/09/30 Física Teórica das Altas Energias e as suas Interfaces com a Cosmologia e a Física Nuclear
POCI/FP/63405/2005
Universidade de Lisboa Instituto Superior Técnico, Portugal
 Fundação para a Ciência e a Tecnologia
Concluded
Outputs

Publications

Book
  1. S Albeverio; P Blanchard; L Ferreira; T Hida; Y Kondratiev; R Vilela Mendes. Mathematical Physics and Stochastic Analysis. World Scientific Pub Co Pte Lt. 2000.
    10.1142/4539
  2. S. Albeverio; P. Blanchard; L. Ferreira; T. Hida; Y. Kondratiev; R. Vilela Mendes. Mathematical Physics and Stochastic Analysis - Essays in Honour of Ludwig Streit. World Scientific Pub Co Pte Lt. 2000.
    10.1142/9789812792167
  3. Manuel S Garrido; R Vilela Mendes. Complexity in Physics and Technology. World Scientific Pub Co Pte Lt. 1993.
    10.1142/1697
  4. Ricardo Lima; Ludwig Streit; Rui Vilela Mendes. Dynamics and Stochastic Processes Theory and Applications. Springer Berlin Heidelberg. 1990.
    10.1007/3-540-52347-2
Book chapter
  1. Oliveira, Maria João; Mendes, Rui Vilela. "Fractional boson gas and fractional poisson measure in infinite dimensions". Springer International Publishing Switzerland, 2015.
    10.1007/978-3-319-16637-7_11
  2. Oliveira, Maria João; Mendes, Rui Vilela. "Fractional boson gas and fractional poisson measure in infinite dimensions". Springer International Publishing Switzerland, 2015.
    10.1007/978-3-319-16637-7_11
Conference paper
  1. Vilela Mendes, R.. "Ultradistribution spaces: Superprocesses and nonlinear differential problems". 2017.
    10.1007/978-3-319-66839-0_12
  2. Mendes, RV. "STOCHASTIC SOLUTIONS OF NONLINEAR PDE'S: MCKEAN VERSUS SUPERPROCESSES". 2012.
  3. R. VILELA MENDES. "PATH-INTEGRAL ESTIMATES OF GROUND-STATE FUNCTIONALS". 2007.
    10.1142/9789812770547_0014
  4. F. CIPRIANO; H. OUERDIANE; J. L. SILVA; R. VILELA MENDES. "A NONLINEAR STOCHASTIC EQUATION OF CONVOLUTION TYPE". 2007.
    10.1142/9789812770547_0006
  5. Martins, JF; Pires, AJ; Mendes, RV; Dente, JA. "Supervision language control of electromechanical drives". 2003.
    10.1109/isie.2003.1267898
  6. Mendes, RV. "Stochastic calculus and processes in non-commutative space-time". 2002.
  7. R. VILELA MENDES. "CLASSICAL AND QUANTUM LYAPUNOV EXPONENTS IN THE PHASE-SPACE TOMOGRAPHIC APPROACH". 2001.
    10.1142/9789812799760_0032
  8. R. VILELA MENDES. "MULTISTABILITY IN DYNAMICAL SYSTEMS". 2000.
    10.1142/9789812793829_0011
  9. Mendes, RV. "Multistability in dynamical systems". 2000.
  10. Martins, JF; Pires, AJ; Mendes, RV; Dente, JA. "A novel grammatical inference learning algorithm for automatic modelling of drive systems". 2000.
  11. Mendes, RV. "Dynamics of networks and applications". 1999.
  12. J. A. DENTE; R. VILELA MENDES. "UNSUPERVISED LEARNING IN NETWORKS WITH NODE PARAMETERS". 1995.
    10.1142/9789814503877_0019
  13. Mendes, RV. "Entropy and quantum characteristic exponents. Steps towards a quantum Pesin theory". 1995.
Journal article
  1. R. Vilela Mendes. "On a family of Lévy processes without support in S'". Statistics & Probability Letters (2024): https://doi.org/10.1016/j.spl.2024.110077.
    10.1016/j.spl.2024.110077
  2. R. Vilela Mendes. "T-violation and the dark sector". Modern Physics Letters A (2023): https://doi.org/10.1142/S0217732323501651.
    10.1142/S0217732323501651
  3. R. Vilela Mendes. "Stochastic solutions and singular partial differential equations". Communications in Nonlinear Science and Numerical Simulation (2023): https://doi.org/10.1016/j.cnsns.2023.107406.
    10.1016/j.cnsns.2023.107406
  4. R. VILELA MENDES. "THE FRACTIONAL VOLATILITY MODEL AND ROUGH VOLATILITY". International Journal of Theoretical and Applied Finance (2023): https://doi.org/10.1142/S0219024923500103.
    10.1142/S0219024923500103
  5. R. Vilela Mendes. "Quantum control of quantum triple collisions in a maximally symmetric three-body Coulomb problem". International Journal of Modern Physics B (2023): https://doi.org/10.1142/S0217979224501431.
    10.1142/S0217979224501431
  6. R. Vilela Mendes. "On lattice confinement and hybrid fusion". Modern Physics Letters B (2022): https://doi.org/10.1142/S0217984922500427.
    10.1142/S0217984922500427
  7. Vilela Mendes, Rui. "Tools to Characterize the Correlated Nature of Collective Dynamics". (2021): http://dx.doi.org/10.25088/complexsystems.30.1.1.
  8. Mendes, Rui. "Exact conservative solutions of fluid models for the scrape-off layer as the ancestors of plasma blobs?". Nuclear Fusion (2020): http://dx.doi.org/10.1088/1741-4326/ab3ea4.
    10.1088/1741-4326/ab3ea4
  9. Vilela Mendes, Rui. "Space–times over normed division algebras, revisited". (2020): http://dx.doi.org/10.1142/s0217751x20500554.
  10. R. Vilela Mendes. "Non-commutative probability and non-commutative processes: Beyond the Heisenberg algebra". Journal of Mathematical Physics (2019): https://doi.org/10.1063/1.5089500.
    10.1063/1.5089500
  11. Mendes, Rui. "Stochastic stability of invariant measures: The 2D Euler equation". International Journal of Modern Physics B (2019): http://dx.doi.org/10.1142/s0217979219501856.
    10.1142/s0217979219501856
  12. Mendes, Rui. "Commutative or noncommutative spacetime? Two length scales of noncommutativity". Physical Review D (2019): http://dx.doi.org/10.1103/physrevd.99.123006.
    10.1103/physrevd.99.123006
  13. Rui Ligeiro; R. Vilela Mendes. "Detecting and quantifying ambiguity: a neural network approach". Soft Computing (2018): https://doi.org/10.1007/s00500-017-2525-7.
    10.1007/s00500-017-2525-7
  14. Vilela Mendes, RV. "Quantum control of quasi-collision states: A protocol for hybrid fusion". INTERNATIONAL JOURNAL OF MODERN PHYSICS B (2018):
    10.1142/s0217979218501345
  15. Mendes, Rui. "Superprocesses on ultradistributions". Stochastics (2017): http://dx.doi.org/10.1080/17442508.2016.1269768.
    10.1080/17442508.2016.1269768
  16. R. Vilela Mendes. "The Geometry of Noncommutative Space-Time". International Journal of Theoretical Physics (2017): https://doi.org/10.1007%2Fs10773-016-3166-9.
    10.1007/s10773-016-3166-9
  17. Vilela Mendes, R.; Bizarro, J.P.S.. "Analytical study of growth estimates, control of fluctuations, and conservative structures in a two-field model of the scrape-off layer". Physics of Plasmas 24 1 (2017): http://www.scopus.com/inward/record.url?eid=2-s2.0-85009471124&partnerID=MN8TOARS.
    10.1063/1.4973222
  18. Aguirre, C.; Franzese, G.; Esposito, F.; Vázquez, L.; Caro-Carretero, R.; Vilela-Mendes, R.; Ramírez-Nicolás, M.; Cozzolino, F.; Popa, C.I.. "Signal-adapted tomography as a tool for dust devil detection". Aeolian Research 29 (2017): 12-22. http://www.scopus.com/inward/record.url?eid=2-s2.0-85030707025&partnerID=MN8TOARS.
    10.1016/j.aeolia.2017.09.005
  19. Vilela Mendes, RV. "Current algebra, statistical mechanics and quantum models". JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT (2017):
    10.1088/1742-5468/aa9342
  20. Vilela Mendes, R.. "A consistent measure for lattice Yang-Mills". International Journal of Modern Physics A 32 2-3 (2017): http://www.scopus.com/inward/record.url?eid=2-s2.0-85010832412&partnerID=MN8TOARS.
    10.1142/s0217751x17500166
  21. R. Vilela Mendes; Hugo C. Mendes; Tanya Araújo. "Signals on graphs: Transforms and tomograms". Physica A: Statistical Mechanics and its Applications 450 (2016): 1-17. https://doi.org/10.1016%2Fj.physa.2016.01.002.
    10.1016/j.physa.2016.01.002
  22. R. Vilela Mendes. "An extended Dirac equation in noncommutative spacetime". Mod. Phys. Lett. A 31 15 (2016): 1650089-1650089. http://dx.doi.org/10.1142/s0217732316500899.
    10.1142/s0217732316500899
  23. HUGO C. MENDES; ALBERTO MURTA; R. VILELA MENDES. "LONG RANGE DEPENDENCE AND THE DYNAMICS OF EXPLOITED FISH POPULATIONS". Advs. Complex Syst. 18 07n08 (2015): 1550017-1550017. http://dx.doi.org/10.1142/s0219525915500174.
    10.1142/s0219525915500174
  24. R Vilela Mendes. "Non-commutative tomography and signal processing". Phys. Scr. 90 7 (2015): 074022-074022. http://dx.doi.org/10.1088/0031-8949/90/7/074022.
    10.1088/0031-8949/90/7/074022
  25. R. Vilela Mendes; M.J. Oliveira; A.M. Rodrigues. "No-arbitrage, leverage and completeness in a fractional volatility model". Physica A: Statistical Mechanics and its Applications 419 (2015): 470-478. http://dx.doi.org/10.1016/j.physa.2014.10.056.
    10.1016/j.physa.2014.10.056
  26. Mendes, Rui Vilela; Oliveira, Maria João; Rodrigues, A. M.. "The fractional volatility model : no-arbitrage, leverage and completeness". (2015): http://hdl.handle.net/10400.2/3787.
    10.1016/j.physa.2014.10.056
  27. Mendes, Rui Vilela; Oliveira, Maria João; Rodrigues, A. M.. "The fractional volatility model : no-arbitrage, leverage and completeness". (2015): http://hdl.handle.net/10400.2/3787.
    10.1016/j.physa.2014.10.056
  28. Mendes, Rui. "Portfolios and the market geometry". Physica A: Statistical Mechanics and its Applications (2014):
    10.1016/j.physa.2014.05.016
  29. Mendes, Rui. "Signal recognition and adapted filtering by non-commutative tomography". IET Signal Processing (2013):
    10.1049/iet-spr.2012.0227
  30. Floriani, E.; Vilela Mendes, R.. "A stochastic approach to the solution of magnetohydrodynamic equations". Journal of Computational Physics 242 (2013): 777-789. http://www.scopus.com/inward/record.url?eid=2-s2.0-84875762362&partnerID=MN8TOARS.
    10.1016/j.jcp.2013.02.039
  31. Mendes, Rui. "Non-commutative tomography: A tool for data analysis and signal processing". J. Russian Laser Research (2012):
    10.1007/s10946-012-9265-z
  32. Mendes, Rui. "A laboratory scale fundamental time". Eur. Physical Journal C (2012):
    10.1140/epjc/s10052-012-2239-z
  33. Vilela Mendes, R.. "The deformation-stability fundamental length and deviations from c". Physics Letters, Section A: General, Atomic and Solid State Physics 376 23 (2012): 1823-1826. http://www.scopus.com/inward/record.url?eid=2-s2.0-84860840920&partnerID=MN8TOARS.
    10.1016/j.physleta.2012.04.038
  34. Mendes, Rui. "An infinite-dimensional calculus for generalized connections in hypercubic lattices". Journal of Mathematical Physics (2011):
    10.1063/1.3592919
  35. Mendes, Rui. "On the problem of quantum control in infinite dimensions". J. of Physics A: Math. Theor. (2011):
    10.1088/1751-8113/44/13/135302
  36. Mendes, Rui. "Ergodic parameters and dynamical complexity". Chaos (2011):
    10.1063/1.3634008
  37. Vilela Mendes, R.. "Poisson-Vlasov in a strong magnetic field: A stochastic solution approach". Journal of Mathematical Physics 51 4 (2010): http://www.scopus.com/inward/record.url?eid=2-s2.0-77953265492&partnerID=MN8TOARS.
    10.1063/1.3352555
  38. TANYA ARAÚJO; R. VILELA MENDES. "INNOVATION AND SELF-ORGANIZATION IN A MULTI-AGENT MODEL". Advances in Complex Systems 12 02 (2009): 233-253. http://dx.doi.org/10.1142/s0219525909002180.
    10.1142/s0219525909002180
  39. J.F. Martins; J.A. Dente; A.J. Pires; R. Vilela Mendes. "From controlled dynamical systems to context-dependent grammars: A connectionist approach". Engineering Applications of Artificial Intelligence 22 2 (2009): 192-200. http://dx.doi.org/10.1016/j.engappai.2008.05.005.
    10.1016/j.engappai.2008.05.005
  40. Mendes, Rui. "Tomographic analysis of reflectometry data: II. The phase derivative". Measurement science and Technology (2009):
    10.1088/0957-0233/20/10/105502
  41. Mendes, Rui. "A tomographic analysis of reflectometry data: I. Component factorization". Measurement Science and Technology (2009):
    10.1088/0957-0233/20/10/105501
  42. Mendes, Rui. "Stochastic solutions of some nonlinear partial differential equations". Stochastics (2009):
    10.1080/17442500903080389
  43. Vilela Mendes, R.. "Universal families and quantum control in infinite dimensions". Physics Letters, Section A: General, Atomic and Solid State Physics 373 30 (2009): 2529-2532. http://www.scopus.com/inward/record.url?eid=2-s2.0-67649464247&partnerID=MN8TOARS.
    10.1016/j.physleta.2009.05.014
  44. Carlen, E.; Vilela Mendes, R.. "Signal reconstruction by random sampling in chirp space". Nonlinear Dynamics 56 3 (2009): 223-229. http://www.scopus.com/inward/record.url?eid=2-s2.0-63949087889&partnerID=MN8TOARS.
    10.1007/s11071-008-9394-7
  45. Araujo, T; Mendes, RV. "INNOVATION AND SELF-ORGANIZATION IN A MULTI-AGENT MODEL". ADVANCES IN COMPLEX SYSTEMS (2009):
  46. Vilela Mendes, R.. "A fractional calculus interpretation of the fractional volatility model". Nonlinear Dynamics 55 4 (2009): 395-399. http://www.scopus.com/inward/record.url?eid=2-s2.0-59349109245&partnerID=MN8TOARS.
    10.1007/s11071-008-9372-0
  47. R. Vilela Mendes; Fernanda Cipriano. "A stochastic representation for the Poisson–Vlasov equation". Communications in Nonlinear Science and Numerical Simulation 13 1 (2008): 221-226. http://dx.doi.org/10.1016/j.cnsns.2007.05.008.
    10.1016/j.cnsns.2007.05.008
  48. Mendes, Rui. "A stochastic representation for the Poisson-Vlasov equation". Commun. in Nonlinear Science and Num. Simulations (2008):
    10.1016/j.cnsns.2007.11.017
  49. Mendes, Rui. "Reduction and approximation in guiding-center dynamics". Journal of Physics A: Math. and Theor. (2008):
    10.1088/1751-8113/41/46/465501
  50. Vilela Mendes, R.. "The fractional volatility model: An agent-based interpretation". Physica A: Statistical Mechanics and its Applications 387 15 (2008): 3987-3994. http://www.scopus.com/inward/record.url?eid=2-s2.0-42649132064&partnerID=MN8TOARS.
    10.1016/j.physa.2008.01.052
  51. Floriani, E.; Lima, R.; Vilela Mendes, R.. "Poisson-Vlasov: Stochastic representation and numerical codes". European Physical Journal D 46 2 (2008): 295-302. http://www.scopus.com/inward/record.url?eid=2-s2.0-38349182200&partnerID=MN8TOARS.
    10.1140/epjd/e2007-00302-7
  52. Mendes, Rui Vilela; Oliveira, Maria João. "A data-reconstructed fractional volatility model". (2008): http://hdl.handle.net/10400.2/1711.
  53. Mendes, Rui Vilela; Oliveira, Maria João. "A data-reconstructed fractional volatility model". (2008): http://hdl.handle.net/10400.2/1711.
  54. Cipriano, Fernanda; Ouerdiane, Habib; DA SILVA, JOSÉ LUÍS; Vilela Mendes, Rui. "A nonlinear stochastic equation of convolution type: Solution and stochastic representation". Glob.~J.~Pure Appl.~Math. 4 1 (2008): 9-23. http://www.cee.uma.pt/luis/page5/page3/files/conveq-1.pdf.
    Published
  55. J. F. Martins; P. J. Santos; A. J. Pires; Luiz Eduardo Borges da Silva; R. Vilela Mendes. "Entropy-Based Choice of a Neural Network Drive Model". IEEE Transactions on Industrial Electronics 54 1 (2007): 110-116. http://dx.doi.org/10.1109/tie.2006.888768.
    10.1109/tie.2006.888768
  56. E. Floriani; R. Lima; R. Vilela Mendes. "Poisson-Vlasov: stochastic representation and numerical codes". The European Physical Journal D 46 2 (2007): 407-407. http://dx.doi.org/10.1140/epjd/e2007-00326-y.
    10.1140/epjd/e2007-00326-y
  57. Lima, R.; Vilela Mendes, R.. "Fluctuations and control in the Vlasov-Poisson equation". Physics Letters, Section A: General, Atomic and Solid State Physics 368 1-2 (2007): 87-91. http://www.scopus.com/inward/record.url?eid=2-s2.0-34547461697&partnerID=MN8TOARS.
    10.1016/j.physleta.2007.03.066
  58. R. Vilela Mendes; Luis Vázquez. "The dynamical nature of a backlash system with and without fluid friction". Nonlinear Dynamics 47 4 (2006): 363-366. http://dx.doi.org/10.1007/s11071-006-9035-y.
    10.1007/s11071-006-9035-y
  59. R. Vilela Mendes. "Deterministic Bak–Sneppen model: Lyapunov spectrum and avalanches as return times". Physica D: Nonlinear Phenomena 214 2 (2006): 182-186. http://dx.doi.org/10.1016/j.physd.2006.01.004.
    10.1016/j.physd.2006.01.004
  60. Santos, PJ; Martins, AG; Pires, AJ; Martins, JF; Mendes, RV. "Short-term load forecast using trend information and process reconstruction". INTERNATIONAL JOURNAL OF ENERGY RESEARCH (2006):
    10.1002/er.1187
  61. Cortese, P.; Dellacasa, G.; Ramello, L.; Sitta, M.; Ahmad, N.; Ahmad, S.; Ahmad, T.; et al. "ALICE: Physics performance report, volume II". Journal of Physics G: Nuclear and Particle Physics 32 10 (2006): http://www.scopus.com/inward/record.url?eid=2-s2.0-33749642388&partnerID=MN8TOARS.
    10.1088/0954-3899/32/10/001
  62. Man'ko, M.A.; Man'ko, V.I.; Vilela Mendes, R.. "A probabilistic operator symbol framework for quantum information". Journal of Russian Laser Research 27 6 (2006): 507-532. http://www.scopus.com/inward/record.url?eid=2-s2.0-33751185542&partnerID=MN8TOARS.
    10.1007/s10946-006-0032-x
  63. Vilela Mendes, R.. "Network dynamics: Tools and examples". Nonlinear Dynamics 44 1-4 (2006): 181-204. http://www.scopus.com/inward/record.url?eid=2-s2.0-33744824366&partnerID=MN8TOARS.
    10.1007/s11071-006-1965-x
  64. Aguirre, C.; Martins, J.; Vilela Mendes, R.. "Dynamics and coding of a biologically-motivated network". International Journal of Bifurcation and Chaos 16 2 (2006): 383-394. http://www.scopus.com/inward/record.url?eid=2-s2.0-33645652982&partnerID=MN8TOARS.
    10.1142/s0218127406014861
  65. R. Vilela Mendes. "The Quantum Ultimatum Game". Quantum Information Processing 4 1 (2005): 1-12. http://dx.doi.org/10.1007/s11128-005-3192-7.
    10.1007/s11128-005-3192-7
  66. Vilela Mendes, R.. "Tools for network dynamics". International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 15 4 (2005): 1185-1213. http://www.scopus.com/inward/record.url?eid=2-s2.0-22144439434&partnerID=MN8TOARS.
    10.1142/s0218127405012715
  67. Mendes, RV. "Some consequences of a non-commutative space-time structure". EUROPEAN PHYSICAL JOURNAL C (2005):
    10.1140/epjc/s2005-02303-1
  68. Vilela Mendes, R.. "Stratification of the orbit space in gauge theories: The role of nongeneric strata". Journal of Physics A: Mathematical and General 37 47 (2004): 11485-11498. http://www.scopus.com/inward/record.url?eid=2-s2.0-10244240593&partnerID=MN8TOARS.
    10.1088/0305-4470/37/47/017
  69. Vilela Mendes, R.. "The nonlinear directional coupler: An analytic solution". Optics Communications 232 1-6 (2004): 425-427. http://www.scopus.com/inward/record.url?eid=2-s2.0-1042277300&partnerID=MN8TOARS.
    10.1016/j.optcom.2003.12.056
  70. Carminati, F.; Foka, P.; Giubellino, P.; Morsch, A.; Paic, G.; Revol, J.-P.; Šafarík, K.; et al. "ALICE: Physics performance report, volume I". Journal of Physics G: Nuclear and Particle Physics 30 11 (2004): 1517-1763. http://www.scopus.com/inward/record.url?eid=2-s2.0-8744227164&partnerID=MN8TOARS.
    10.1088/0954-3899/30/11/001
  71. Vilela Mendes, R.. "Network dependence of strong reciprocity". Advances in Complex Systems 7 3-4 (2004): 357-368. http://www.scopus.com/inward/record.url?eid=2-s2.0-13844297047&partnerID=MN8TOARS.
    10.1142/S0219525904000226
  72. Karwowski, W.; Vilela Mendes, R.. "Quantum control in infinite dimensions". Physics Letters, Section A: General, Atomic and Solid State Physics 322 5-6 (2004): 282-285. http://www.scopus.com/inward/record.url?eid=2-s2.0-1442277663&partnerID=MN8TOARS.
    10.1016/j.physleta.2004.01.031
  73. R. Vilela Mendes; V. I. Man’ko. "Quantum control and the Strocchi map". Physical Review A 67 5 (2003): http://dx.doi.org/10.1103/physreva.67.053404.
    10.1103/physreva.67.053404
  74. Tanya Araújo; R. Vilela Mendes; João Seixas. "A dynamical characterization of the small world phase". Physics Letters A 319 3-4 (2003): 285-289. http://dx.doi.org/10.1016/j.physleta.2003.10.031.
    10.1016/j.physleta.2003.10.031
  75. Vázquez, L.; Vilela Mendes, R.. "Fractionally coupled solutions of the diffusion equation". Applied Mathematics and Computation 141 1 (2003): 125-130. http://www.scopus.com/inward/record.url?eid=2-s2.0-0037457772&partnerID=MN8TOARS.
    10.1016/S0096-3003(02)00326-0
  76. Vilela Mendes, R.; Araújo, T.; Louçã, F.. "Reconstructing an economic space from a market metric". Physica A: Statistical Mechanics and its Applications 323 (2003): 635-650. http://www.scopus.com/inward/record.url?eid=2-s2.0-0037798981&partnerID=MN8TOARS.
    10.1016/S0378-4371(03)00014-1
  77. Vilela Mendes, R.; Man'ko, V.I.. "Quantum control and the Strocchi map". Physical Review A - Atomic, Molecular, and Optical Physics 67 5 (2003): 534041-534048. http://www.scopus.com/inward/record.url?eid=2-s2.0-0038783377&partnerID=MN8TOARS.
  78. Branco, PJC; Dente, JA; Mendes, RV. "Using immunology principles for fault detection". IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS (2003):
    10.1109/tie.2003.809418
  79. Mendes, RV. "Quantum collision states for positive charges in an octahedral cage". INTERNATIONAL JOURNAL OF HYDROGEN ENERGY (2003):
    10.1016/s0360-3199(02)00024-1
  80. R. VILELA MENDES; R. LIMA; T. ARAÚJO. "A PROCESS-RECONSTRUCTION ANALYSIS OF MARKET FLUCTUATIONS". International Journal of Theoretical and Applied Finance 05 08 (2002): 797-821. http://dx.doi.org/10.1142/s0219024902001730.
    10.1142/s0219024902001730
  81. Man'ko, V.I.; Vilela Mendes, R.. "Quantum sensitive dependence". Physics Letters, Section A: General, Atomic and Solid State Physics 300 4-5 (2002): 353-360. http://www.scopus.com/inward/record.url?eid=2-s2.0-0037025609&partnerID=MN8TOARS.
    10.1016/S0375-9601(02)00829-0
  82. M A Man'ko; V I Man'ko; R Vilela Mendes. "Tomograms and other transforms: a unified view". Journal of Physics A: Mathematical and General 34 40 (2001): 8321-8332. http://dx.doi.org/10.1088/0305-4470/34/40/309.
    10.1088/0305-4470/34/40/309
  83. JOÃO MARTINS; R. VILELA MENDES. "NEURAL NETWORKS AND LOGICAL REASONING SYSTEMS: A TRANSLATION TABLE". International Journal of Neural Systems 11 02 (2001): 179-186. http://dx.doi.org/10.1142/s0129065701000540.
    10.1142/s0129065701000540
  84. Mendes, RV. "Structure-generating mechanisms in agent-based models". PHYSICA A (2001):
    10.1016/s0378-4371(01)00117-0
  85. Carlen, E.; Vilela Mendes, R.. "Non-commutative space-time and the uncertainty principle". Physics Letters, Section A: General, Atomic and Solid State Physics 290 3-4 (2001): 109-114. http://www.scopus.com/inward/record.url?eid=2-s2.0-16744368614&partnerID=MN8TOARS.
    10.1016/s0375-9601(01)00673-9
  86. Martins, J.F.; Dente, J.A.; Pires, A.J.; Vilela Mendes, R.. "Language identification of controlled systems: Modeling, control and anomaly detection". IEEE Transactions on Systems, Man and Cybernetics Part C: Applications and Reviews 31 2 (2001): 234-242. http://www.scopus.com/inward/record.url?eid=2-s2.0-0035325460&partnerID=MN8TOARS.
    10.1109/5326.941846
  87. Man'ko, M.A; Man'ko, V.I; Vilela Mendes, R.. "Quantum computation by quantumlike systems". Physics Letters, Section A: General, Atomic and Solid State Physics 288 3-4 (2001): 132-138. http://www.scopus.com/inward/record.url?eid=2-s2.0-0035943923&partnerID=MN8TOARS.
    10.1016/S0375-9601(01)00517-5
  88. Carvalho, R.; Fernandez, B.; Vilela Mendes, R.. "From synchronization to multistability in two coupled quadratic maps". Physics Letters, Section A: General, Atomic and Solid State Physics 285 5-6 (2001): 327-338. http://www.scopus.com/inward/record.url?eid=2-s2.0-17644433852&partnerID=MN8TOARS.
    10.1016/S0375-9601(01)00370-X
  89. Mendes, RV. "Characterizing self-organization and coevolution by ergodic invariants". PHYSICA A (2000):
    10.1016/s0378-4371(99)00444-6
  90. MaN'Ko, V.I.; Vilela Mendes, R.. "Lyapunov exponent in quantum mechanics. A phase-space approach". Physica D: Nonlinear Phenomena 145 3-4 (2000): 330-348. http://www.scopus.com/inward/record.url?eid=2-s2.0-0346056211&partnerID=MN8TOARS.
    10.1016/s0167-2789(00)00117-2
  91. Vilela Mendes, R.. "Geometry, stochastic calculus, and quantum fields in a noncommutative space-time". Journal of Mathematical Physics 41 1 (2000): 156-186. http://www.scopus.com/inward/record.url?eid=2-s2.0-0033632391&partnerID=MN8TOARS.
  92. R. Vilela Mendes. "Geometry, stochastic calculus, and quantum fields in a noncommutative space–time". J. Math. Phys. 41 1 (2000): 156-156. http://dx.doi.org/10.1063/1.533127.
    10.1063/1.533127
  93. V.I. Man'ko; R. Vilela Mendes. "Non-commutative time-frequency tomography". Physics Letters A 263 1-2 (1999): 53-61. http://dx.doi.org/10.1016/s0375-9601(99)00688-x.
    10.1016/s0375-9601(99)00688-x
  94. R. Vilela Mendes. "Clustering and synchronization with positive Lyapunov exponents". Physics Letters A 257 3-4 (1999): 132-138. http://dx.doi.org/10.1016/s0375-9601(99)00319-9.
    10.1016/s0375-9601(99)00319-9
  95. Rui Carvalho; R.Vilela Mendes; João Seixas. "Feigenbaum networks". Physica D: Nonlinear Phenomena 126 1-2 (1999): 27-37. http://dx.doi.org/10.1016/s0167-2789(98)00198-5.
    10.1016/s0167-2789(98)00198-5
  96. R Vilela Mendes. "Conditional exponents, entropies and a measure of dynamical self-organization". Physics Letters A 248 2-4 (1998): 167-171. http://dx.doi.org/10.1016/s0375-9601(98)00604-5.
    10.1016/s0375-9601(98)00604-5
  97. V I Man'ko; R Vilela Mendes. "On the nonlinearity interpretation of q - and f -deformation and some applications". Journal of Physics A: Mathematical and General 31 28 (1998): 6037-6044. http://dx.doi.org/10.1088/0305-4470/31/28/017.
    10.1088/0305-4470/31/28/017
  98. R. Vilela Mendes. "Saddle scars: existence and applications". Physics Letters A 239 4-5 (1998): 223-227. http://dx.doi.org/10.1016/s0375-9601(98)00063-2.
    10.1016/s0375-9601(98)00063-2
  99. R. Vilela Mendes; Ricardo Coutinho. "On the computation of quantum characteristic exponents". Physics Letters A 239 4-5 (1998): 239-245. http://dx.doi.org/10.1016/s0375-9601(97)00931-6.
    10.1016/s0375-9601(97)00931-6
  100. Man'ko, VI; Mendes, RV. "Time-dependent invariants for Dirac equation and Newton-Wigner position operator". Physica Scripta (1998):
    10.1088/0031-8949/56/5/001
  101. R. Vilela Mendes. "Active Control of Ionized Boundary Layers". International Journal of Bifurcation and Chaos 08 12 (1998): 2449-2455. http://dx.doi.org/10.1142/s0218127498001960.
    10.1142/s0218127498001960
  102. R. Vilela Mendes; J. A. Dente. "Boundary-Layer Control by Electric Fields". Journal of Fluids Engineering 120 3 (1998): 626-626. http://dx.doi.org/10.1115/1.2820710.
    10.1115/1.2820710
  103. Vilela Mendes, R.; Dente, J.A.. "Boundary-Layer Control by Electric Fields". Journal of Fluids Engineering, Transactions of the ASME 120 3 (1998): 626-629. http://www.scopus.com/inward/record.url?eid=2-s2.0-0032166502&partnerID=MN8TOARS.
  104. Vilela Mendes, R.. "Saddle scars: Existence and applications". Physics Letters, Section A: General, Atomic and Solid State Physics 239 4-5 (1998): 223-227. http://www.scopus.com/inward/record.url?eid=2-s2.0-0042357216&partnerID=MN8TOARS.
  105. Vilela Mendes, R.. "Conditional exponents, entropies and a measure of dynamical self-organization". Physics Letters, Section A: General, Atomic and Solid State Physics 248 2-4 (1998): 167-171. http://www.scopus.com/inward/record.url?eid=2-s2.0-0004865884&partnerID=MN8TOARS.
  106. Vilela Mendes, R.; Coutinho, R.. "On the computation of quantum characteristic exponents". Physics Letters, Section A: General, Atomic and Solid State Physics 239 4-5 (1998): 239-245. http://www.scopus.com/inward/record.url?eid=2-s2.0-0041856256&partnerID=MN8TOARS.
  107. R. Vilela Mendes. "Collision states and scar effects in charged three-body problems". Physics Letters A 233 4-6 (1997): 265-273. http://dx.doi.org/10.1016/s0375-9601(97)00557-4.
    10.1016/s0375-9601(97)00557-4
  108. Vilela Mendes, R.. "Collision states and scar effects in charged three-body problems". Physics Letters, Section A: General, Atomic and Solid State Physics 233 4-6 (1997): 265-273. http://www.scopus.com/inward/record.url?eid=2-s2.0-0001156262&partnerID=MN8TOARS.
  109. Dente, J.A.; Vilela Mendes, R.. "Characteristic functions and process identification by neural networks". Neural Networks 10 8 (1997): 1465-1471. http://www.scopus.com/inward/record.url?eid=2-s2.0-0345367972&partnerID=MN8TOARS.
    10.1016/s0893-6080(97)00040-3
  110. Ricardo Lima; R. Vilela Mendes. "Stochastic process for the dynamics of the turbulent cascade". Phys. Rev. E 53 4 (1996): 3536-3540. http://dx.doi.org/10.1103/physreve.53.3536.
    10.1103/physreve.53.3536
  111. J.A. Dente; R. Vilela Mendes; A. Lambert; R. Lima. "The bi-orthogonal decomposition in image processing: Signal analysis and texture segmentation". Signal Processing: Image Communication 8 2 (1996): 131-148. http://dx.doi.org/10.1016/0923-5965(95)00041-0.
    10.1016/0923-5965(95)00041-0
  112. J.A. Dente; R. Vilela Mendes. "A fully connected network of Bernoulli units with correlation learning". Physics Letters A 211 2 (1996): 87-93. http://dx.doi.org/10.1016/0375-9601(95)00928-0.
    10.1016/0375-9601(95)00928-0
  113. R. Vilela Mendes. "Quantum mechanics and non-commutative space-time". Physics Letters A 210 4-5 (1996): 232-240. http://dx.doi.org/10.1016/0375-9601(95)00938-8.
    10.1016/0375-9601(95)00938-8
  114. Dente, JA; Mendes, RV. "Unsupervised learning in general connectionist systems". NETWORK-COMPUTATION IN NEURAL SYSTEMS (1996):
    10.1088/0954-898x/7/1/008
  115. Vilela Mendes, R.. "Quantum mechanics and non-commutative space-time". Physics Letters, Section A: General, Atomic and Solid State Physics 210 4-5 (1996): 232-240. http://www.scopus.com/inward/record.url?eid=2-s2.0-4243771062&partnerID=MN8TOARS.
  116. R. VILELA MENDES. "ELECTRON-POSITRON PRODUCTION IN STRONG FIELD PULSES". Modern Physics Letters A 09 27 (1994): 2493-2506. http://dx.doi.org/10.1142/s0217732394002367.
    10.1142/s0217732394002367
  117. R. VILELA MENDES. "NEAR COLLISIONS IN A COULOMB SYSTEM: QUANTUM TREATMENT". Modern Physics Letters B 08 11 (1994): 707-719. http://dx.doi.org/10.1142/s0217984994000728.
    10.1142/s0217984994000728
  118. MENDES, RV. "DEFORMATIONS, STABLE THEORIES AND FUNDAMENTAL CONSTANTS". JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL (1994):
    10.1088/0305-4470/27/24/019
  119. Eleutério, S.; Vilela Mendes, R.. "Stochastic ground-state processes". Physical Review B 50 8 (1994): 5035-5040. http://www.scopus.com/inward/record.url?eid=2-s2.0-35949006222&partnerID=MN8TOARS.
    10.1103/PhysRevB.50.5035
  120. Witold Karwowski; R. Vilela Mendes. "Hierarchical structures and asymmetric stochastic processes on p-adics and adeles". J. Math. Phys. 35 9 (1994): 4637-4637. http://dx.doi.org/10.1063/1.530805.
    10.1063/1.530805
  121. Altherr, T.; Vilela Mendes, R.; Seixas, J.. "A new method for fast track recognition at present and future colliders". Nuclear Inst. and Methods in Physics Research, A 332 1-2 (1993): 284-287. http://www.scopus.com/inward/record.url?eid=2-s2.0-0027627330&partnerID=MN8TOARS.
    10.1016/0168-9002(93)90771-9
  122. Man'ko, V.I.; Vilela Mendes, R.. "q-deformed Brownian motion". Physics Letters A 180 1-2 (1993): 39-42. http://www.scopus.com/inward/record.url?eid=2-s2.0-0003806225&partnerID=MN8TOARS.
    10.1016/0375-9601(93)90491-H
  123. R. VILELA MENDES. "NEAR-COLLISIONS IN A COULOMB SYSTEM: NUMERICAL SIMULATIONS — A PRELUDE TO HYBRID FUSION". Modern Physics Letters B 07 29n30 (1993): 1929-1939. http://dx.doi.org/10.1142/s0217984993001958.
    10.1142/s0217984993001958
  124. Vilela Mendes, R.. "Sensitive dependence in quantum systems: some examples and results". Physics Letters A 171 5-6 (1992): 253-258. http://www.scopus.com/inward/record.url?eid=2-s2.0-0005471478&partnerID=MN8TOARS.
    10.1016/0375-9601(92)90637-2
  125. Seixas, J.; Vilela Mendes, R.. "Large-deviation analysis of multiplicity fluctuations". Nuclear Physics B 383 3 (1992): 622-642. http://www.scopus.com/inward/record.url?eid=2-s2.0-0011500651&partnerID=MN8TOARS.
    10.1016/0550-3213(92)90090-x
  126. Vilela Mendes, R.. "Stochastic processes and the non-perturbative structure of the QCD vacuum". Zeitschrift für Physik C Particles and Fields 54 2 (1992): 273-281. http://www.scopus.com/inward/record.url?eid=2-s2.0-10244274883&partnerID=MN8TOARS.
    10.1007/bf01566656
  127. R. VILELA MENDES. "ERGODIC MOTION AND NEAR COLLISIONS IN A COULOMB SYSTEM". Modern Physics Letters B 05 17 (1991): 1179-1190. http://dx.doi.org/10.1142/s0217984991001441.
    10.1142/s0217984991001441
  128. MENDES, RV. "RESONANT HOLE CONFIGURATIONS AND HOLE PAIRING". JOURNAL OF PHYSICS-CONDENSED MATTER (1991):
    10.1088/0953-8984/3/35/007
  129. Vilela Mendes, R.. "Sensitive dependence and entropy for quantum systems". Journal of Physics A: Mathematical and General 24 18 (1991): 4349-4358. http://www.scopus.com/inward/record.url?eid=2-s2.0-0005503143&partnerID=MN8TOARS.
    10.1088/0305-4470/24/18/021
  130. Vilela Mendes, R.. "On a stochastic process associated to non-abelian gauge fields". Physics Letters B 223 1 (1989): 83-89. http://www.scopus.com/inward/record.url?eid=2-s2.0-45149142686&partnerID=MN8TOARS.
    10.1016/0370-2693(89)90924-6
  131. Ricardo Lima; Rui Vilela Mendes. "Stability of invariant circles in a class of dissipative maps". Nonlinear Analysis: Theory, Methods & Applications 12 10 (1988): 1061-1067. http://dx.doi.org/10.1016/0362-546x(88)90101-0.
    10.1016/0362-546x(88)90101-0
  132. MENDES, RV. "EUCLIDEAN GAUGE-FIELDS IN 4 DIMENSIONS FROM STOCHASTIC DIFFERENTIAL-EQUATIONS". PHYSICS LETTERS B (1988):
    10.1016/0370-2693(88)90487-x
  133. Vilela Mendes, R.. "Nonequivalent stochastic models in lattice gauge theory". Physical Review D 37 6 (1988): 1608-1620. http://www.scopus.com/inward/record.url?eid=2-s2.0-35949009784&partnerID=MN8TOARS.
    10.1103/physrevd.37.1608
  134. S. M. Eleutério; R. Vilela Mendes. "Stochastic models for lattice gauge theories". Zeitschrift für Physik C Particles and Fields 34 4 (1987): 451-463. http://dx.doi.org/10.1007/bf01679864.
    10.1007/bf01679864
  135. GAGO, JM; MENDES, RV; VAZ, P. "IS THE LAMBDA-POLARIZATION IN INCLUSIVE K-P COMPATIBLE WITH QCD". PHYSICS LETTERS B (1987):
    10.1016/0370-2693(87)90978-6
  136. Vilela Mendes, R.. "Excited states of light hadrons as a probe of QCD". Physics Letters B 196 2 (1987): 207-211. http://www.scopus.com/inward/record.url?eid=2-s2.0-45949115330&partnerID=MN8TOARS.
    10.1016/0370-2693(87)90605-8
  137. Eleuterio, S.M.; Vilela Mendes, R.. "Stochastic mechanics of Abelian lattice theories". Journal of Physics A: Mathematical and General 20 18 (1987): 6411-6427. http://www.scopus.com/inward/record.url?eid=2-s2.0-2842599077&partnerID=MN8TOARS.
    10.1088/0305-4470/20/18/039
  138. R. Vilela Mendes. "Generating functions for noncanonical maps". Letters in Mathematical Physics 11 4 (1986): 289-292. http://dx.doi.org/10.1007/bf00574153.
    10.1007/bf00574153
  139. ELEUTERIO, SM; MENDES, RV. "NUMERICAL PREDICTIONS FROM A STOCHASTIC-MODEL FOR SU(2) LATTICE GAUGE-FIELDS". PHYSICS LETTERS B (1986):
    10.1016/0370-2693(86)90527-7
  140. MENDES, RV. "RECONSTRUCTION OF DYNAMICS FROM AN EIGENSTATE". JOURNAL OF MATHEMATICAL PHYSICS (1986):
  141. R. Vilela Mendes. "Reconstruction of dynamics from an eigenstate". J. Math. Phys. 27 1 (1986): 178-178. http://dx.doi.org/10.1063/1.527359.
    10.1063/1.527359
  142. Eleutério, S.M.; Vilela Mendes, R.. "Quantum dissipation, scattering and tunnelling". Il Nuovo Cimento B Series 11 96 1 (1986): 26-40. http://www.scopus.com/inward/record.url?eid=2-s2.0-51649156264&partnerID=MN8TOARS.
    10.1007/bf02725576
  143. Vilela Mendes, R.. "Stochastic mechanics at positive temperature". Physics Letters A 116 5 (1986): 216-220. http://www.scopus.com/inward/record.url?eid=2-s2.0-46149128856&partnerID=MN8TOARS.
    10.1016/0375-9601(86)90135-0
  144. MENDES, RV. "STOCHASTIC MECHANICS, NONLOCAL POTENTIALS AND JUMP-PROCESSES". PHYSICS LETTERS A (1985):
    10.1016/0375-9601(85)90136-7
  145. Vilela Mendes, R.. "On potentials with fast growing point spectrum". Physics Letters B 155 4 (1985): 274-277. http://www.scopus.com/inward/record.url?eid=2-s2.0-4243364108&partnerID=MN8TOARS.
    10.1016/0370-2693(85)90653-7
  146. R. Vilela Mendes. "Reconstruction of dynamics from the vacuum in lattice theories". Zeitschrift für Physik C Particles and Fields 24 1 (1984): 45-52. http://dx.doi.org/10.1007/bf01576286.
    10.1007/bf01576286
  147. R. Vilela Mendes. "Symmetries and stable periodic orbits for one-dimensional maps". J. Math. Phys. 25 4 (1984): 855-855. http://dx.doi.org/10.1063/1.526235.
    10.1063/1.526235
  148. R. Vilela Mendes; J. Taborda Duarte. "Arcs of discrete dynamics and constants of motion". Letters in Mathematical Physics 6 4 (1982): 249-252. http://dx.doi.org/10.1007/bf00400318.
    10.1007/bf00400318
  149. R. Vilela Mendes. "Quantization of dissipative and volume-preserving dynamics". Physical Review D 26 12 (1982): 3446-3451. http://dx.doi.org/10.1103/physrevd.26.3446.
    10.1103/physrevd.26.3446
  150. Taborda Duarte, J.; Vilela Mendes, R.. "Deformation of Hamiltonian dynamics and constants of motion in dissipative systems". Journal of Mathematical Physics 24 7 (1982): 1772-1778. http://www.scopus.com/inward/record.url?eid=2-s2.0-36749117777&partnerID=MN8TOARS.
  151. MENDES, RV. "CRITICAL-POINT DEPENDENCE OF UNIVERSALITY IN MAPS OF THE INTERVAL". PHYSICS LETTERS A (1981):
    10.1016/0375-9601(81)90002-5
  152. R. Vilela Mendes. "Nonrelativistic bound states of the non-Abelian gauge potential". Phys. Rev. D 24 12 (1981): 3305-3311. http://dx.doi.org/10.1103/physrevd.24.3305.
    10.1103/physrevd.24.3305
  153. R. Vilela Mendes. "Decomposition of vector fields and mixed dynamics". J. Math. Phys. 22 7 (1981): 1420-1420. http://dx.doi.org/10.1063/1.525063.
    10.1063/1.525063
  154. R Vilela Mendes. "Extended relativity, T-violation and a new kind of particle". Journal of Physics A: Mathematical and General 13 2 (1980): 479-501. http://dx.doi.org/10.1088/0305-4470/13/2/016.
    10.1088/0305-4470/13/2/016
  155. Vilela Mendes, R.; Taborda Duarte, J.. "Decomposition of vector fields and mixed dynamics". Journal of Mathematical Physics 22 7 (1980): 1420-1422. http://www.scopus.com/inward/record.url?eid=2-s2.0-0345000826&partnerID=MN8TOARS.
  156. R. Vilela Mendes. "Representations of the general covariance pseudogroup". Reports on Mathematical Physics 15 3 (1979): 317-327. http://dx.doi.org/10.1016/0034-4877(79)90003-x.
    10.1016/0034-4877(79)90003-x
  157. Vilela Mendes, R.. "Large time behaviour of canonical quantized gauge theories". Nuclear Physics, Section B 161 2-3 (1979): 283-293. http://www.scopus.com/inward/record.url?eid=2-s2.0-10244268348&partnerID=MN8TOARS.
    10.1016/0550-3213(79)90212-8
  158. Vilela Mendes, R.. "Representations of the general covariance pseudogroup". Reports on Mathematical Physics 15 3 (1979): 317-327. http://www.scopus.com/inward/record.url?eid=2-s2.0-49249146988&partnerID=MN8TOARS.
    10.1016/0034-4877(79)90003-X
  159. R. Vilela Mendes. "Asymptotic dynamics for gauge theories". Phys. Rev. D 18 12 (1978): 4726-4736. http://dx.doi.org/10.1103/physrevd.18.4726.
    10.1103/physrevd.18.4726
  160. Vilela Mendes, R.. "Mass scales and confinement. A nonperturbative approach". Il Nuovo Cimento A Series 11 43 2 (1978): 294-304. http://www.scopus.com/inward/record.url?eid=2-s2.0-51649170527&partnerID=MN8TOARS.
    10.1007/bf02734203
  161. Romao, J.C.; Vilela Mendes, R.. "ALGORITHMS FOR MULTIDIMENSIONAL NUMERICAL INTEGRATION WITH SINGULARITIES.". Computer Journal 21 4 (1978): 355-358. http://www.scopus.com/inward/record.url?eid=2-s2.0-0018031522&partnerID=MN8TOARS.
  162. Vilela Mendes, R.; Leão, J.P.. "On shadowing in electroproduction". Il Nuovo Cimento A Series 11 41 1 (1977): 21-28. http://www.scopus.com/inward/record.url?eid=2-s2.0-51649167862&partnerID=MN8TOARS.
    10.1007/BF02730450
  163. R. Vilela Mendes. "Faster-than-light particles and T violation". Physical Review D 14 2 (1976): 600-607. http://dx.doi.org/10.1103/physrevd.14.600.
    10.1103/physrevd.14.600
  164. Vilela Mendes, R.. "Restored symmetries, quark puzzle, and the Pomeron as a Josephson current". International Journal of Theoretical Physics 15 7 (1976): 487-495. http://www.scopus.com/inward/record.url?eid=2-s2.0-34250393117&partnerID=MN8TOARS.
    10.1007/BF01809501
  165. MENDES, RV. "NEW LOW-ENERGY THEOREMS FOR GAMMA -] 3PI AND GAMMA-GAMMA -] 3PI". NUCLEAR PHYSICS B (1974):
  166. Vilela Mendes, R.. "New low-energy theorems for ¿ ¿3 p and ¿¿¿3p". Nuclear Physics, Section B 82 2 (1974): 213-220. http://www.scopus.com/inward/record.url?eid=2-s2.0-49549160023&partnerID=MN8TOARS.
    10.1016/0550-3213(74)90505-7
  167. R. Vilela Mendes. "Deformed Quark Currents and Anomalous Ward Identities. ¿ ¿ 3 p , p 0 ¿ 2 ¿ , and e + e - Annihilation". Physical Review D 8 9 (1973): 3008-3018. http://dx.doi.org/10.1103/physrevd.8.3008.
    10.1103/physrevd.8.3008
  168. Rui V. Mendes. "Representations of Local I-Spin Charge Densities. I. Spaces Where Each I Occurs Only Once". J. Math. Phys. 11 12 (1970): 3371-3371. http://dx.doi.org/10.1063/1.1665137.
    10.1063/1.1665137
  169. Mendes, RV; Ne'eman, Y. "Representations of local I-spin charge densities. I. Spaces where each I occurs only once". Journal of Mathematical Physics (1970):
Newspaper article
  1. Vilela Mendes, Rui. "Quantum corrections to plasma kinetic equations: A deformation approach", 2020, https://doi.org/10.1103/physreve.102.013210.
Working paper
  1. Mendes, Rui Vilela. 1999. "Characterizing self-organization and coevolution by ergodic invariants". http://hdl.handle.net/10400.5/22893.
  2. Mendes, Rui Vilela. 1999. "Characterizing self-organization and coevolution by ergodic invariants". http://hdl.handle.net/10400.5/22893.

Other

Other output
  1. Elogio histórico do professor António da Silveira. info:eu-repo/semantics/publishedVersion. 2023. Mendes, Rui Vilela. http://hdl.handle.net/10400.26/45175.
    https://doi.org/10.58164/hwwt-6203
  2. The Stability of Physical Theories Principle. 2016. R. Vilela Mendes. http://dx.doi.org/10.1142/9781783268320_0007.
    10.1142/9781783268320_0007
  3. From Market Data to Agent-Based Models and Stochastic Differential Equations. 2016. R. Vilela Mendes. http://dx.doi.org/10.1007/978-3-319-32144-8_11.
    10.1007/978-3-319-32144-8_11
  4. Stochastic Solutions of Nonlinear PDE’s and an Extension of Superprocesses. 2016. Rui Vilela Mendes. http://dx.doi.org/10.1007/978-3-319-07245-6_13.
    10.1007/978-3-319-07245-6_13
  5. Fractional Boson Gas and Fractional Poisson Measure in Infinite Dimensions. 2015. Maria João Oliveira; Rui Vilela Mendes. http://dx.doi.org/10.1007/978-3-319-16637-7_11.
    10.1007/978-3-319-16637-7_11
  6. STOCHASTIC SOLUTIONS OF NONLINEAR PDE'S: MCKEAN VERSUS SUPERPROCESSES. 2012. R. VILELA MENDES. http://dx.doi.org/10.1142/9789814405645_0014.
    10.1142/9789814405645_0014
  7. The fractional Poisson measure in infinite dimensions. 2011. DA SILVA, JOSÉ LUÍS; OLIVEIRA, MARIA JOÃO; Ouerdiane, Habib; Vilela Mendes, Rui. http://arxiv.org/abs/1002.2124.
  8. Stochastic Calculus and Processes in Non-Commutative Space-Time. 2002. R. Vilela Mendes. http://dx.doi.org/10.1007/978-3-0348-8209-5_14.
    10.1007/978-3-0348-8209-5_14
  9. GLUON CONDENSATE AND A VACUUM STRUCTURE FOR NONABELIAN GAUGE THEORY. 2000. R. VILELA MENDES. http://dx.doi.org/10.1142/9789812792167_0033.
    10.1142/9789812792167_0033
  10. Stochastic Techniques in Condensed Matter Physics. 1994. R. Vilela Mendes. http://dx.doi.org/10.1007/978-94-011-0219-3_10.
    10.1007/978-94-011-0219-3_10
  11. PREDICTION OF TIME SERIES. 1993. J. Santana; R. Vilela Mendes. http://dx.doi.org/10.1142/9789814354776_0016.
    10.1142/9789814354776_0016
  12. Map Dynamics in Gearbox Models. 1988. R. Vilela Mendes; M. de Faria; L. Streit. http://dx.doi.org/10.1007/978-94-009-2979-1_1.
    10.1007/978-94-009-2979-1_1
  13. Deformation Stability of Periodic and Quasi Periodic Motion in Dissipative Systems. 1988. R. Vilela Mendes. http://dx.doi.org/10.1007/978-94-009-3057-5_21.
    10.1007/978-94-009-3057-5_21