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)
Resource Information
The item Ergodic optimization in the expanding case : concepts, tools and applications, Eduardo Garibaldi, (electronic resource) | (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item Ergodic optimization in the expanding case : concepts, tools and applications, Eduardo Garibaldi, (electronic resource) | (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.
This item is available to borrow from 1 library branch.
- 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
- Language
- eng
- Extent
- 1 online resource.
- 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
- Isbn
- 9783319666433
- 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
- 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
- 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)
- 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)
- 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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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/Ergodic-optimization-in-the-expanding-case-/Y-lBD4Rdv4Y/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/portal/Ergodic-optimization-in-the-expanding-case-/Y-lBD4Rdv4Y/">Ergodic optimization in the expanding case : concepts, tools and applications, Eduardo Garibaldi, (electronic resource) | (electronic book)</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.liverpool.ac.uk/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.liverpool.ac.uk/">University of Liverpool</a></span></span></span></span></div>
