Ergodic Optimization in the Expanding Case

Concepts, Tools and Applications
by Eduardo Garibaldi
rrp $89.99

Publisher: Springer International Publishing

Series: SpringerBriefs in Mathematics

Publication Date: October 20, 2017

ISBN: 9783319666433

Binding: Kobo eBook

Availability: eBook

Get eBook

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.