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Titlebook: Ergodic Optimization in the Expanding Case; Concepts, Tools and Eduardo Garibaldi Book 2017 The Author(s) 2017 ergodic optimization.weak K

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发表于 2025-3-21 16:10:18 | 显示全部楼层 |阅读模式
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Titlebook: Ergodic Optimization in the Expanding Case; Concepts, Tools and  Eduardo Garibaldi Book 2017 The Author(s) 2017 ergodic optimization.weak K
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
doihttps://doi.org/10.1007/978-3-319-66643-3
isbn_softcover978-3-319-66642-6
isbn_ebook978-3-319-66643-3Series ISSN 2191-8198 Series E-ISSN 2191-8201
issn_series 2191-8198
copyrightThe Author(s) 2017
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Ergodic Optimization in the Expanding Case978-3-319-66643-3Series ISSN 2191-8198 Series E-ISSN 2191-8201
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Bioremediation and Biotechnology, Vol 2onals will be available in ergodic optimization theory. The concepts that will be discussed in this chapter, namely, the Peierls barrier and the Mañé potential go back to the contributions of both Mather and Mañé in Lagrangian systems.
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Environmental Science and Engineeringstatistical mechanics. In this concluding chapter, we provide a first glimpse of such a rich interaction among theories, by scrutinizing with basic techniques the convergence of equilibrium states to a particular maximizing probability on certain examples.
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