04261nam 22007335 450 99619852790331620200705135611.03-319-17674-910.1007/978-3-319-17674-1(CKB)3710000000436819(SSID)ssj0001558473(PQKBManifestationID)16183824(PQKBTitleCode)TC0001558473(PQKBWorkID)14818771(PQKB)10076525(DE-He213)978-3-319-17674-1(MiAaPQ)EBC6301621(MiAaPQ)EBC5587357(Au-PeEL)EBL5587357(OCoLC)911022556(PPN)186399197(EXLCZ)99371000000043681920150609d2015 u| 0engurnn|008mamaatxtccrCorrelated Random Systems: Five Different Methods[electronic resource] CIRM Jean-MorletChair, Spring 2013 /edited by Véronique Gayrard, Nicola Kistler1st ed. 2015.Cham :Springer International Publishing :Imprint: Springer,2015.1 online resource (VII, 205 p. 9 illus., 8 illus. in color.) Lecture Notes in Mathematics,0075-8434 ;2143Bibliographic Level Mode of Issuance: Monograph3-319-17673-0 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.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.Lecture Notes in Mathematics,0075-8434 ;2143ProbabilitiesPhysicsStatistical physicsDynamical systemsProbability Theory and Stochastic Processeshttps://scigraph.springernature.com/ontologies/product-market-codes/M27004Mathematical Methods in Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19013Complex Systemshttps://scigraph.springernature.com/ontologies/product-market-codes/P33000Statistical Physics and Dynamical Systemshttps://scigraph.springernature.com/ontologies/product-market-codes/P19090Probabilities.Physics.Statistical physics.Dynamical systems.Probability Theory and Stochastic Processes.Mathematical Methods in Physics.Complex Systems.Statistical Physics and Dynamical Systems.519.23Gayrard Véroniqueedthttp://id.loc.gov/vocabulary/relators/edtKistler Nicolaedthttp://id.loc.gov/vocabulary/relators/edtMiAaPQMiAaPQMiAaPQBOOK996198527903316Correlated Random Systems: Five Different Methods2247673UNISA