<電子ブック>
Ergodic Optimization in the Expanding Case : Concepts, Tools and Applications / by Eduardo Garibaldi
(SpringerBriefs in Mathematics. ISSN:21918201)
版 | 1st ed. 2017. |
---|---|
出版者 | (Cham : Springer International Publishing : Imprint: Springer) |
出版年 | 2017 |
大きさ | VIII, 73 p : online resource |
著者標目 | *Garibaldi, Eduardo author SpringerLink (Online service) |
件 名 | LCSH:Dynamical systems LCSH:Mathematical optimization LCSH:Calculus of variations LCSH:Thermodynamics LCSH:Condensed matter FREE:Dynamical Systems FREE:Calculus of Variations and Optimization FREE:Continuous Optimization FREE:Thermodynamics FREE:Condensed Matter Physics |
一般注記 | Chapter 01- Introduction -- Chapter 02- Duality -- Chapter 03- Calibrated sub-actions -- Chapter 04- Aubry set.-Chapter 05- Mañé potential and Peierls barrier -- Chapter 06- Representation of calibrated sub-actions -- Chapter 07- Separating sub-actions -- Chapter 08- Further properties of sub-actions -- Chapter 09- Relations with the thermodynamic formalism -- Appendix- Bounded measurable sub-actions -- Bibliography 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 HTTP:URL=https://doi.org/10.1007/978-3-319-66643-3 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
Springer eBooks | 9783319666433 |
|
電子リソース |
|
EB00198381 |
類似資料
この資料の利用統計
このページへのアクセス回数:5回
※2017年9月4日以降