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Ergodic optimization in the expanding case = concepts, tools and applications /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Ergodic optimization in the expanding case/ by Eduardo Garibaldi.
Reminder of title:	concepts, tools and applications /
Author:	Garibaldi, Eduardo.
Published:	Cham :Springer International Publishing : : 2017.,
Description:	viii, 73 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Mathematical optimization. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-66643-3
ISBN:	9783319666433

Ergodic optimization in the expanding case = concepts, tools and applications /
Garibaldi, Eduardo.

Ergodic optimization in the expanding caseconcepts, tools and applications /[electronic resource] :by Eduardo Garibaldi. - Cham :Springer International Publishing :2017. - viii, 73 p. :ill., digital ;24 cm. - SpringerBriefs in mathematics,2191-8198. - SpringerBriefs in mathematics..

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.

ISBN: 9783319666433

Standard No.: 10.1007/978-3-319-66643-3doiSubjects--Topical Terms:

527675
Mathematical optimization.

LC Class. No.: QA402.5 / .G375 2017

Dewey Class. No.: 519.6

Ergodic optimization in the expanding case = concepts, tools and applications /
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505 0 $a 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.
520 $a 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.
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