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Identification

Personal identification

Full name
Eric Carlen

Citation names

  • Carlen, Eric

Author identifiers

Ciência ID
C81E-CB0F-ED6E
ORCID iD
0000-0003-2613-187X
Education
Degree Classification
1980/09/01 - 1984/05/01
Concluded
Physics (Doctor of Philosophy)
Major in Physics
Princeton University, United States
Affiliation

Teaching in Higher Education

Category
Host institution
Employer
2007/07/01 - Current Full Professor (University Teacher) Rutgers The State University of New Jersey, United States
Projects

Grant

Designation Funders
2018/06 - 2021/05 Variational Problems, Stability and Dynamics National Science Foundation Directorate for Mathematical and Physical Sciences
2015/06 - 2019/05 Variational Problems and Dynamics National Science Foundation Directorate for Mathematical and Physical Sciences
Outputs

Publications

Journal article
  1. Amorim, Érik; Carlen, Eric A.. "Complete positivity and self-adjointness". Linear Algebra and its Applications 611 (2021): 389-439. http://dx.doi.org/10.1016/j.laa.2020.10.038.
    Published • 10.1016/j.laa.2020.10.038
  2. Carlen, Eric A; Jauslin, Ian; Lieb, Elliott H; Loss, Michael P. "On the Convolution Inequality f = f ¿ f". International Mathematics Research Notices (2021): http://dx.doi.org/10.1093/imrn/rnaa350.
    Published • 10.1093/imrn/rnaa350
  3. Carlen, Eric A.; Jauslin, Ian; Lieb, Elliott H.. "Analysis of a simple equation for the ground state energy of the Bose gas". Pure and Applied Analysis 2 3 (2020): 659-684. http://dx.doi.org/10.2140/paa.2020.2.659.
    Published • 10.2140/paa.2020.2.659
  4. Carlen, Eric; Carvalho, Maria; Loss, Michael. "Spectral gaps for reversible Markov processes with chaotic invariant measures: The Kac process with hard sphere collisions in three dimensions". Annals of Probability 48 6 (2020): 2807-2844. http://dx.doi.org/10.1214/20-aop1437.
    Published • 10.1214/20-aop1437
  5. Carlen, Eric A; Vershynina, Anna. "Recovery map stability for the data processing inequality". Journal of Physics A: Mathematical and Theoretical 53 3 (2020): 035204. http://dx.doi.org/10.1088/1751-8121/ab5ab7.
    Published • 10.1088/1751-8121/ab5ab7
  6. Carlen, Eric A.; Carvalho, Maria C.; Loss, Michael P.. "Chaos, ergodicity, and equilibria in a quantum Kac model". Advances in Mathematics 358 (2019): 106827. http://dx.doi.org/10.1016/j.aim.2019.106827.
    Published • 10.1016/j.aim.2019.106827
  7. Carlen, Eric A.; Lieb, Elliott H.. "Some trace inequalities for exponential and logarithmic functions". Bulletin of Mathematical Sciences 09 02 (2019): 1950008. http://dx.doi.org/10.1142/s1664360719500085.
    Published • 10.1142/s1664360719500085
  8. Carlen, Eric A; Fröhlich, Jürg; Lebowitz, Joel; Wang, Wei-Min. "Quantitative bounds on the rate of approach to equilibrium for some one-dimensional stochastic nonlinear Schrödinger equations". Nonlinearity 32 4 (2019): 1352-1374. http://dx.doi.org/10.1088/1361-6544/aae69c.
    Published • 10.1088/1361-6544/aae69c
  9. Carlen, Eric A.; Lieb, Elliott H.. "A dual form of the sharp Nash inequality and its weighted generalization". Bulletin of the London Mathematical Society 51 1 (2018): 129-144. http://dx.doi.org/10.1112/blms.12220.
    Published • 10.1112/blms.12220
  10. Carlen, Eric A.; Vershynina, Anna. "Recovery and the Data Processing Inequality for Quasi-Entropies". IEEE Transactions on Information Theory 64 10 (2018): 6929-6938. http://dx.doi.org/10.1109/tit.2018.2812038.
    Published • 10.1109/tit.2018.2812038
  11. Carlen, E. A.; Esposito, R.; Lebowitz, J. L.; Marra, R.; Mouhot, C.. "Approach to the Steady State in Kinetic Models with Thermal Reservoirs at Different Temperatures". Journal of Statistical Physics 172 2 (2018): 522-543. http://dx.doi.org/10.1007/s10955-018-2074-1.
    Published • 10.1007/s10955-018-2074-1
  12. A. Carlen, Eric; C. Carvalho, Maria; Einav, Amit. "Entropy production inequalities for the Kac Walk". Kinetic & Related Models 11 2 (2018): 219-238. http://dx.doi.org/10.3934/krm.2018012.
    Published • 10.3934/krm.2018012
  13. Carlen, Eric A.; Maas, Jan. "Gradient flow and entropy inequalities for quantum Markov semigroups with detailed balance". Journal of Functional Analysis 273 5 (2017): 1810-1869. http://dx.doi.org/10.1016/j.jfa.2017.05.003.
    Published • 10.1016/j.jfa.2017.05.003
  14. Carlen, Eric A.. "A remainder term for Hölder’s inequality for matrices and quantum entropy inequalities". Archiv der Mathematik 109 4 (2017): 365-371. http://dx.doi.org/10.1007/s00013-017-1066-8.
    Published • 10.1007/s00013-017-1066-8
  15. Carlen, Eric. "Duality and Stability for Functional Inequalities". Annales de la faculté des sciences de Toulouse Mathématiques 26 2 (2017): 319-350. http://dx.doi.org/10.5802/afst.1535.
    Published • 10.5802/afst.1535
  16. Carlen, Eric A.; Lieb, Elliott H.; Loss, Michael. "On a quantum entropy power inequality of Audenaert, Datta, and Ozols". Journal of Mathematical Physics 57 6 (2016): 062203. http://dx.doi.org/10.1063/1.4953638.
    Published • 10.1063/1.4953638