书目名称 | Ergodic Optimization in the Expanding Case |
副标题 | Concepts, Tools and |
编辑 | Eduardo Garibaldi |
视频video | |
概述 | 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 optim |
丛书名称 | SpringerBriefs in Mathematics |
图书封面 |  |
描述 | 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.. |
出版日期 | Book 2017 |
关键词 | ergodic optimization; weak KAM; sub-actions; Aubry set; Mañé potential; thermodynamics |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-319-66643-3 |
isbn_softcover | 978-3-319-66642-6 |
isbn_ebook | 978-3-319-66643-3Series ISSN 2191-8198 Series E-ISSN 2191-8201 |
issn_series | 2191-8198 |
copyright | The Author(s) 2017 |