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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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Main Author: Garibaldi, Eduardo. (Author, http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
Edition:1st ed. 2017.
Series:SpringerBriefs in Mathematics,
Subjects:
Dynamics.
Ergodic theory.
Calculus of variations.
Mathematical optimization.
Thermodynamics.
Solid state physics.
Dynamical Systems and Ergodic Theory.
Calculus of Variations and Optimal Control; Optimization.
Continuous Optimization.
Solid State Physics.
Online Access:https://doi.org/10.1007/978-3-319-66643-3
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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