Overview
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.
The book, Ergodic Optimization in the Expanding Case: Concepts, Tools and Applications (SpringerBriefs in Mathematics) [Bulk, Wholesale, Quantity] ISBN#9783319666426 in Paperback by Eduardo Garibaldi may be ordered in bulk quantities. Minimum starts at 25 copies. Availability based on publisher status and quantity being ordered.