Coverart for item
The Resource Ergodic optimization in the expanding case : concepts, tools and applications, Eduardo Garibaldi, (electronic resource) | (electronic book)

Ergodic optimization in the expanding case : concepts, tools and applications, Eduardo Garibaldi, (electronic resource) | (electronic book)

Label
Ergodic optimization in the expanding case : concepts, tools and applications
Title
Ergodic optimization in the expanding case
Title remainder
concepts, tools and applications
Statement of responsibility
Eduardo Garibaldi
Creator
Subject
Language
eng
Summary
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
Member of
Cataloging source
YDX
http://library.link/vocab/creatorName
Garibaldi, Eduardo
Dewey number
  • 519.6
  • 510
Index
index present
LC call number
QA402.5
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
SpringerBriefs in mathematics
http://library.link/vocab/subjectName
  • Mathematical optimization
  • Ergodic theory
Label
Ergodic optimization in the expanding case : concepts, tools and applications, Eduardo Garibaldi, (electronic resource) | (electronic book)
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Preface; Contents; 1 Introduction; 1.1 Theoretical Interactions; 1.2 Basic Notions; 1.3 Organization of the Text; 2 Duality; 2.1 A Multifaceted Constant; 2.2 The Dual Formula; 3 Calibrated Sub-actions; 3.1 An Iterative Approximation Approach; 3.2 Asymptotic Behavior of Lax-Oleinik Operators; 4 Aubry Set; 4.1 A Maximizing Non-wandering Set; 5 Mañé Potential and Peierls Barrier; 5.1 Action Functionals in Ergodic Optimization; 5.2 Mañé Potential and Kleene Star; 6 Representation of Calibrated Sub-actions; 6.1 The Mañé-Peierls Transform; 7 Separating Sub-actions; 7.1 A Minimalist Sub-action
  • 8 Further Properties of Sub-actions8.1 Convexity, Non-compactness, and Extremal Elements; 9 Relations with the Thermodynamic Formalism; 9.1 Equilibrium States and Maximizing Measures; 9.2 Examples of Convergence of Equilibrium States; Appendix A Bounded Measurable Sub-actions; Maximizing Sets; Bibliography; Index
Dimensions
unknown
Extent
1 online resource.
Form of item
online
Isbn
9783319666433
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Specific material designation
remote
System control number
on1004764842
Label
Ergodic optimization in the expanding case : concepts, tools and applications, Eduardo Garibaldi, (electronic resource) | (electronic book)
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Preface; Contents; 1 Introduction; 1.1 Theoretical Interactions; 1.2 Basic Notions; 1.3 Organization of the Text; 2 Duality; 2.1 A Multifaceted Constant; 2.2 The Dual Formula; 3 Calibrated Sub-actions; 3.1 An Iterative Approximation Approach; 3.2 Asymptotic Behavior of Lax-Oleinik Operators; 4 Aubry Set; 4.1 A Maximizing Non-wandering Set; 5 Mañé Potential and Peierls Barrier; 5.1 Action Functionals in Ergodic Optimization; 5.2 Mañé Potential and Kleene Star; 6 Representation of Calibrated Sub-actions; 6.1 The Mañé-Peierls Transform; 7 Separating Sub-actions; 7.1 A Minimalist Sub-action
  • 8 Further Properties of Sub-actions8.1 Convexity, Non-compactness, and Extremal Elements; 9 Relations with the Thermodynamic Formalism; 9.1 Equilibrium States and Maximizing Measures; 9.2 Examples of Convergence of Equilibrium States; Appendix A Bounded Measurable Sub-actions; Maximizing Sets; Bibliography; Index
Dimensions
unknown
Extent
1 online resource.
Form of item
online
Isbn
9783319666433
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Specific material designation
remote
System control number
on1004764842

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