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Ergodic Optimization in the Expanding Case Concepts, Tools and Applications

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 wor...

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Bibliographic Details
Main Author: Garibaldi, Eduardo
Format: eBook
Language:English
Published: Cham Springer International Publishing 2017, 2017
Edition:1st ed. 2017
Series:SpringerBriefs in Mathematics
Subjects:
Dynamical Systems And Ergodic Theory
Calculus Of Variations And Optimal Control; Optimization
Ergodic Theory
Continuous Optimization
Thermodynamics
Solid State Physics
Mathematical Optimization
Calculus Of Variations
Dynamics
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 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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