Ergodic Optimization in the Expanding Case

Beschreibung

This book focuses on the interpretation of ergodic optimal problems as questions of variational dynamics, employing a comparable approach to that of the Aubry-Mather theory for Lagrangian systems. Ergodic optimization is primarily concerned with the study of optimizing probability measures. This work presents and discusses the fundamental concepts of the theory, including the use and relevance of Sub-actions as analogues to subsolutions of the Hamilton-Jacobi equation. Further, it provides evidence for the impressively broad applicability of the tools inspired by the weak KAM theory.


Provides an innovative and useful approach to ergodic optimization for a broader audience
Explores the power of Sub-actions as tools for Symbolic Dynamics
Describes the relations between ergodic optimization theory and thermodynamic formalism

Provides an innovative and useful approach to ergodic optimization for a broader audience Explores the power of Sub-actions as tools for Symbolic Dynamics Describes the relations between ergodic optimization theory and thermodynamic formalism Includes supplementary material: sn.pub/extras

Autor*in

Eduardo Garibaldi

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ergodic optimization weak KAM sub-actions Aubry set Mañé potential thermodynamics

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