Ergodic Optimization in the Expanding Case : Concepts, Tools and Applications / / by Eduardo Garibaldi

• Autore: Garibaldi Eduardo
• Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017
• Edizione: 1st ed. 2017.
• Descrizione fisica: 1 online resource (VIII, 73 p.)
• Disciplina: 519.3
• Soggetto topico: 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
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: 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.
• Sommario/riassunto: 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.
• Titolo autorizzato: Ergodic Optimization in the Expanding Case
• ISBN: 3-319-66643-6
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910254299203321
• Lo trovi qui: Univ. Federico II
• Serie: SpringerBriefs in Mathematics, . 2191-8198