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portada Ergodic Optimization in the Expanding Case: Concepts, Tools and Applications (Springerbriefs in Mathematics)
Type
Physical Book
Publisher
Author
Year
2017
Language
English
Pages
73
Format
Paperback
ISBN13
9783319666426
Edition No.
1
Categories

Ergodic Optimization in the Expanding Case: Concepts, Tools and Applications (Springerbriefs in Mathematics)

Eduardo Garibaldi (Author) · Springer · Paperback

Ergodic Optimization in the Expanding Case: Concepts, Tools and Applications (Springerbriefs in Mathematics) - Eduardo Garibaldi

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Synopsis "Ergodic Optimization in the Expanding Case: Concepts, Tools and Applications (Springerbriefs in Mathematics) "

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.

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