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|
|Deposited By:||Julien NAMAZI|
|Deposited On:||01 sept. 2023 14:31|
|Dernière modification:||01 sept. 2023 14:31|
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