Philippe Thieullen |
Institut de Mathématiques Equipe d'Analyse Université de Bordeaux 351, Cours de la Libération 33405 Talence Cedex France |
tél : (33)-5-40-00-61-17 fax : (33)-5-40-00-21-23 e-mail : philippe.thieullen at u-bordeaux.fr Batiment : A33 (Accès au campus) Bureau : 280 |
Domaines de recherche :
Systèmes dynamiques, Théorie ergodique,
Formalisme thermodynamique, optimisation ergodique,
Théorie KAM faible, dynamique collective
Articles publiés récemment |
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(2009) [with E. Garibaldi, A.O. Lopes] On calibrated and separating sub-actions. Bull Braz Math Soc, New Series 40(4), 587-612. | |
(2011) [with E. Garibaldi] Minimizing orbits in the discrete Aubry-Mather model. Nonlinearity, Vol. 24, 563--611. | |
(2012) [with E. Garibaldi] Description of Some Ground States by Puiseux Technics. J. Stat. Phys., Vol. 146, 125--180. | |
(2013) [with A. Lopes and A. Neumann] A thermodynamic formalism for continuous time Markov chains with values on the Bernoulli space: Entropy, pressure and large deviation. J. Stat. Phys., Vol. 152, 894-933. | |
(2015) [with A. Lopes, E. Oliveira] The Dual Potential, the involution kernel and Transport in Ergodic Optimization, Dynamics, Games and Science, International Conference and Advanced School Planet Earth DGS II, Edit. J.-P. Bourguignon, R. Jelstch, A. Pinto and M. Viana, Springer Verlag, 331--364. | |
(2015) [with E. Garibaldi] An ergodic description of ground states, J. Stat. Phys., Vol. 158, 359--371. | |
(2017) [with W. Oukil, A. Kessi] Synchronization hypothesis in the Winfree model, Dynamical Systems, Vol. 32, No. 3, 326-339. | |
(2017) [with E. Garibaldi, S. Petite] Calibrated configurations for Frenkel-Kontorova type models in almost periodic-environments, Annales Henri Poincaré, A Journal of Theoretical and Mathematical Physics, Vol. 18 No. 9, 2905-2943. | |
(2017) [with R. Metzger, C.A. Morales Rojas], Toplogical stability in set-valued dynamics, Discrete and Continuous Dynamical Systems, Series B, Vol. 22, No. 5, 1965-1975. | |
(2018) [with R. Bissacot, E. Garibaldi] Zero-temperature phase diagram for double-well type potentials in the summable variation class, Ergodic Theory and Dynamical Systems, Vol. 38, No. 3, 863-885. | |
(2018) [with X. Su], Convergence of the discrete Aubry-Mather model in the continuous limit, Nonlinarity, Vol. 31, 2126-2155. | |
(2019) [with W. Oukil, A. Kessi], Invariant cone and synchronization state stability of the mean field models, Dynamical Systems, Vol. 34, No. 3, 422-433. | |
(2019) [with A. Quas, M. Zarrabi], Explicit bounds for separation between Oseledets subspaces, Dynamical Systems, Vol. 34, No. 3, 517-560. | |
(2021) [with Xifeng Su], Gottschalk Hedlund theorem revisited, Math. Res. Lett. Vol. 28, No. 1 (2021), 285-300. | |
(2022) [with S. Brull, M. Shahine], Compactness property of the linearized Boltzmann operator for a diatomic single gas model. Networks and Heterogeneous Media, Vol. 17, No. 6 (2022), 847-861. | |
(2023) [with V. Ayot, S. Brull], A Velocity Alignment Collision Model for Spatially Homogeneous Kinetic Collective Dynamics. Journal of Statistical Physics, Vol. 190, No. 28 (2023), 22p. | |
(2024) [with S. Brull, M. Shahine]. Fredholm property of the linearized Boltzmann operator for a polyatomic single gas model. Kinetic and Related Models, Vol. 17, No. 2 (2024), 234--252. | |
(2024) [with S. Brull, K. Guillon]. A Fick law recovering BGK model for a mixture of monoatomic and polyatomic gases. Kinetic and Related Models | |
(2024) [with Xifeng Su, Wenzhe Yu]. Lipschitz sub-actions for locally maximal hyperbolic sets of a C1 map. Discrete and Continuous Dynamical Systems, Vol. 44, No. 3 (2024), 656--677. | |
(2024) [with S. Barbieri, R. Bissacot, G. Dalle Vedove]. Zero-temperature chaos in bidimensional models with finite-range potentials. Advances in Mathematics, Vol. 457(2024), 109906, 51 pages. | |
Preprints |
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(2024) [with E. Garibaldi, S. Petite] Classification of discrete weak KAM solutions on linearly repetitive quasi periodic sets. 47 pages. | |
Quelques exposés sous Beamer |
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(juillet 2018) Convergence of a discrete Aubry-Mather model to solutions of some Hamilton-Jacobi equations, WEAK KAM Rio 2018 ICM Satellite Conference | |
(juillet 2018) Non convergence of a 1D Gibbs model at zero temperature, Topics in Mathematical Physics, São Paulo ICM 2018 Satellite Conference | |
(juillet 2021) Introduction to ergodic optimization, Virtual school: Dynamique collective, systemes couplés, et applications en biologie/écologie | |
(October 2021) Calibrated subactions for Anosov maps and flows. Webinarios de Matematica do PPGMat - UFRGS, Porto Alegre, October 13, 2021. | |
(August 2023) Zero temperature convergence of Gibbs measures for a locally finite potential in a 2-dimensional lattice. The 4th Korea-France Conference on Mathematics, KIAS (Korea Institute for Advanced Study), 21–25 August 2023. | |
(August 2023) A kinetic velocity alignment model in $R^d$. HYKE-Hwarang Day, Department of Mathematical Sciences SNU, 30 August 2023. | |
(October 2024) Classification of calibrated configurations and effective potential for a quasiperiodic environment. Randomness 2024, Institute of Mathematics and Statistics (IME-USP), 05-09 February 2024. |