Ergodic Optimization in the Expanding Case Concepts, Tools and Applications /

• Main Author: Garibaldi, Eduardo (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: SpringerBriefs in Mathematics,
• Subjects: Mathematics.; 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.

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...

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.