Namazi, M. Julien (2023) Formalisme thermodynamique dans les systèmes dynamiques hyperboliques PRE - Research Project, ENSTA.



In this research internship we will firstly be interested in thermodynamical formalism : we will construct topological entropy, measure entropy and the variationnal principles. During those chapters we will emphasize on symbolic dynamics because it is a dynamics that we understand very well. Then we will properly define what hyperbolic dynamics is. Using a localization procedure we will be interested in the expansivity of this dynamics and in the stable manifold theorem. Finally we will show the existence of symbolic coding for a particular class of hyperbolic dynamics : Anosov diffeomorphism.

Item Type:Thesis (PRE - Research Project)
Uncontrolled Keywords:Topological dynamics, ergodic theory, topological and measure entropy, topological and measure pressure, variationnal principle, equilibrium measure, hyperbolic dynamics, stable and unstable manifolds, Markov partitions, Anosov diffeomorphism.
Subjects:Mathematics and Applications
ID Code:9710
Deposited By:Julien NAMAZI
Deposited On:01 sept. 2023 14:31
Dernière modification:01 sept. 2023 14:31

Repository Staff Only: item control page