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Correlated Random Systems: Five Different Methods : CIRM Jean-MorletChair, Spring 2013 / / edited by Véronique Gayrard, Nicola Kistler



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Titolo: Correlated Random Systems: Five Different Methods : CIRM Jean-MorletChair, Spring 2013 / / edited by Véronique Gayrard, Nicola Kistler Visualizza cluster
Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015
Edizione: 1st ed. 2015.
Descrizione fisica: 1 online resource (VII, 205 p. 9 illus., 8 illus. in color.)
Disciplina: 519.23
Soggetto topico: Probabilities
Physics
Statistical physics
Dynamical systems
Probability Theory and Stochastic Processes
Mathematical Methods in Physics
Complex Systems
Statistical Physics and Dynamical Systems
Persona (resp. second.): GayrardVéronique
KistlerNicola
Note generali: Bibliographic Level Mode of Issuance: Monograph
Nota di contenuto: 1 Random Polymers -- 2 Spontaneous replica symmetry breaking and interpolation methods for complex statistical mechanics systems -- 3 Derrida’s random energy models: from spin glasses to the extremes of correlated random fields -- 4 Isomorphism Theorems: Markov processes, Gaussian processes and beyond -- 5 Spectral properties of Wigner matrices.
Sommario/riassunto: This volume presents five different methods recently developed to tackle the large scale behavior of highly correlated random systems, such as spin glasses, random polymers, local times and loop soups and random matrices. These methods, presented in a series of lectures delivered within the Jean-Morlet initiative (Spring 2013), play a fundamental role in the current development of probability theory and statistical mechanics. The lectures were: Random Polymers by E. Bolthausen, Spontaneous Replica Symmetry Breaking and Interpolation Methods by F. Guerra, Derrida's Random Energy Models by N. Kistler, Isomorphism Theorems by J. Rosen and Spectral Properties of Wigner Matrices by B. Schlein. This book is the first in a co-edition between the Jean-Morlet Chair at CIRM and the Springer Lecture Notes in Mathematics which aims to collect together courses and lectures on cutting-edge subjects given during the term of the Jean-Morlet Chair, as well as new material produced in its wake. It is targeted at researchers, in particular PhD students and postdocs, working in probability theory and statistical physics.
Titolo autorizzato: Correlated Random Systems: Five Different Methods  Visualizza cluster
ISBN: 3-319-17674-9
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910131387403321
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Serie: Lecture Notes in Mathematics, . 0075-8434 ; ; 2143