Journal article |
- Bessa, Mário; Del Magno, Gianluigi; Lopes Dias, João; Gaivão, José Pedro; Torres, Maria Joana. Corresponding author: Lopes
Dias, João. "Billiards in generic convex bodies have positive topological entropy". Advances in Mathematics 442 April
2024 (2024): 109592. https://doi.org/10.1016/j.aim.2024.109592.
Open access • In press
- Gianluigi Del Magno; João Lopes Dias; Pedro Duarte; José Pedro Gaivão. "Hyperbolic Polygonal Billiards Close to 1-Dimensional
Piecewise Expanding Maps". Journal of Statistical Physics 182 1 (2021): https://doi.org/10.1007/s10955-020-02673-2.
10.1007/s10955-020-02673-2
- Del Magno, G.; Dias, J.L.; Duarte, P.; Gaivão, J.P.. "The attractor of piecewise expanding maps of the interval". Stochastics
and Dynamics (2019): http://www.scopus.com/inward/record.url?eid=2-s2.0-85068159646&partnerID=MN8TOARS.
10.1142/S0219493720500094
- Del Magno, G.; Markarian, R.. "On the Bernoulli Property of Planar Hyperbolic Billiards". Communications in Mathematical
Physics 350 3 (2017): 917-955. http://www.scopus.com/inward/record.url?eid=2-s2.0-85010815492&partnerID=MN8TOARS.
10.1007/s00220-017-2828-7
- "Asymptotic stability of the optimal filter for random chaotic maps". Nonlinearity (2017):
10.1088/1361-6544/aa639c
- "Hyperbolic polygonal billiards with finitely many ergodic SRB measures". Ergodic Theory & Dynam. Systems (2017):
10.1017/etds.2016.119
- Del Magno, G.; Gaivao, J.P.; Gutkin, E.. "Dissipative outer billiards: A case study". Dynamical Systems 30 1 (2015):
45-69. http://www.scopus.com/inward/record.url?eid=2-s2.0-84922323472&partnerID=MN8TOARS.
10.1080/14689367.2014.970130
- Del Magno, G.; Lopes Dias, J.; Duarte, P.; Pedro Gaivão, J.. "Ergodicity of polygonal slap maps". Nonlinearity 27 8
(2014): 1969-1983. http://www.scopus.com/inward/record.url?eid=2-s2.0-84904906725&partnerID=MN8TOARS.
10.1088/0951-7715/27/8/1969
- Del Magno, G.; Lopes Dias, J.; Duarte, P.; Gaivão, J.P.; Pinheiro, D.. "SRB Measures for Polygonal Billiards with Contracting
Reflection Laws". Communications in Mathematical Physics 329 2 (2014): 687-723. http://www.scopus.com/inward/record.url?eid=2-s2.0-84901488768&partnerID=MN8TOARS.
10.1007/s00220-014-1960-x
- Del Magno, G.; Markarian, R.. "A local ergodic theorem for non-uniformly hyperbolic symplectic maps with singularities". Ergodic
Theory and Dynamical Systems 33 4 (2013): 983-1007. http://www.scopus.com/inward/record.url?eid=2-s2.0-84880994461&partnerID=MN8TOARS.
10.1017/S0143385712000284
- Del Magno, G.; Markarian, R.. "Singular sets of planar hyperbolic billiards are regular". Regular and Chaotic Dynamics
18 4 (2013): 425-452. http://www.scopus.com/inward/record.url?eid=2-s2.0-84884146609&partnerID=MN8TOARS.
10.1134/S1560354713040072
- Del Magno, G.; Lopes Dias, J.; Duarte, P.; Pedro Gaivão, J.; Pinheiro, D.. "Chaos in the square billiard with a modified reflection
law". Chaos 22 2 (2012): http://www.scopus.com/inward/record.url?eid=2-s2.0-84863442355&partnerID=MN8TOARS.
10.1063/1.3701992
- Baptista, M.S.; Kakmeni, F.M.; Del Magno, G.; Hussein, M.S.. "How complex a dynamical network can be?". Physics Letters,
Section A: General, Atomic and Solid State Physics 375 10 (2011): 1309-1318. http://www.scopus.com/inward/record.url?eid=2-s2.0-79951809405&partnerID=MN8TOARS.
10.1016/j.physleta.2011.01.054
- Bunimovich, L.A.; Magno, G.D.. "Track billiards". Communications in Mathematical Physics 288 2 (2009): 699-713. http://www.scopus.com/inward/record.url?eid=2-s2.0-67349089223&partnerID=MN8TOARS.
10.1007/s00220-009-0741-4
- Bunimovich, L.A.; Del Magno, G.. "Semi-focusing billiards: Ergodicity". Ergodic Theory and Dynamical Systems 28 5 (2008):
1377-1417. http://www.scopus.com/inward/record.url?eid=2-s2.0-51849113851&partnerID=MN8TOARS.
10.1017/S0143385707000909
- Altmann, E.G.; Del Magno, G.; Hentschel, M.. "Non-Hamiltonian dynamics in optical microcavities resulting from wave-inspired
corrections to geometric optics". EPL 84 1 (2008): http://www.scopus.com/inward/record.url?eid=2-s2.0-79051470579&partnerID=MN8TOARS.
10.1209/0295-5075/84/10008
- Bunimovich, L.A.; Del Magno, G.. "Semi-focusing billiards: Hyperbolicity". Communications in Mathematical Physics 262
1 (2006): 17-32. http://www.scopus.com/inward/record.url?eid=2-s2.0-29644443557&partnerID=MN8TOARS.
10.1007/s00220-005-1473-8
- Del Magno, G.; Markarian, R.. "Bernoulli elliptical stadia". Communications in Mathematical Physics 233 2 (2003): 211-230.
http://www.scopus.com/inward/record.url?eid=2-s2.0-0037328019&partnerID=MN8TOARS.
- Del Magno, G.. "Ergodicity of a class of truncated elliptical billiards". Nonlinearity 14 6 (2001): 1761-1786. http://www.scopus.com/inward/record.url?eid=2-s2.0-0035511440&partnerID=MN8TOARS.
10.1088/0951-7715/14/6/317
- Esposti, Mirko Degli; Magno, Gianluigi Del; Lenci, Marco. "Escape orbits and ergodicity in infinite step billiards". Nonlinearity
13 4 (2000): 1275-1292. http://dx.doi.org/10.1088/0951-7715/13/4/316.
10.1088/0951-7715/13/4/316
- Degli Esposti, M.; Del Magno, G.; Lenci, M.. "An infinite step billiard". Nonlinearity 11 4 (1998): 991-1013. http://www.scopus.com/inward/record.url?eid=2-s2.0-0041721020&partnerID=MN8TOARS.
10.1088/0951-7715/11/4/013
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