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020 _a9783319176741
_9978-3-319-17674-1
024 7 _a10.1007/978-3-319-17674-1
_2doi
035 _ato000559629
040 _aSpringer
_cSpringer
_dRU-ToGU
050 4 _aQA273.A1-274.9
050 4 _aQA274-274.9
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072 7 _aMAT029000
_2bisacsh
082 0 4 _a519.2
_223
245 1 0 _aCorrelated Random Systems: Five Different Methods
_helectronic resource
_bCIRM Jean-Morlet Chair, Spring 2013 /
_cedited by Véronique Gayrard, Nicola Kistler.
260 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2015.
300 _aVII, 205 p. 9 illus., 8 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2143
505 0 _a1 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.
520 _aThis 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.
650 0 _amathematics.
_9566183
650 0 _aProbabilities.
_9295556
650 0 _aphysics.
_9566227
650 0 _aStatistical physics.
_9566317
650 0 _aDynamical systems.
_9460471
650 1 4 _aMathematics.
_9566184
650 2 4 _aProbability Theory and Stochastic Processes.
_9303734
650 2 4 _aMathematical Methods in Physics.
_9296778
650 2 4 _aStatistical Physics, Dynamical Systems and Complexity.
_9410505
700 1 _aGayrard, Véronique.
_eeditor.
_9466889
700 1 _aKistler, Nicola.
_eeditor.
_9466890
710 2 _aSpringerLink (Online service)
_9143950
773 0 _tSpringer eBooks
830 0 _aLecture Notes in Mathematics,
_9315276
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-319-17674-1
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c414817