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Author Garibaldi, Eduardo, author
Title Ergodic optimization in the expanding case : concepts, tools and applications / by Eduardo Garibaldi
Imprint Cham : Springer International Publishing : Imprint: Springer, 2017
book jacket
Descript 1 online resource (viii, 73 pages) : illustrations, digital ; 24 cm
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
Series SpringerBriefs in mathematics, 2191-8198
SpringerBriefs in mathematics
Note Chapter 01- Introduction -- Chapter 02- Duality -- Chapter 03- Calibrated sub-actions -- Chapter 04- Aubry set -- Chapter 05- Mane 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
Host Item Springer eBooks
Subject Mathematical optimization
Ergodic theory
Mathematics
Dynamical Systems and Ergodic Theory
Calculus of Variations and Optimal Control; Optimization
Continuous Optimization
Thermodynamics
Solid State Physics
Alt Author SpringerLink (Online service)
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