Eduardo Garibaldi
Ergodic Optimization in the Expanding Case
Concepts, Tools and Applications
Paperback Engels 2017 9783319666426Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
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.
Specificaties
ISBN13:9783319666426
Taal:Engels
Bindwijze:paperback
Uitgever:Springer International Publishing
Lezersrecensies
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Inhoudsopgave
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.
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