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082 0 4 _a519.2
_223
245 1 0 _aCorrelated Random Systems: Five Different Methods
_h[electronic resource] :
_bCIRM Jean-Morlet Chair, Spring 2013 /
_cedited by Véronique Gayrard, Nicola Kistler.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2015.
300 _aVII, 208 p. 9 illus., 8 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
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338 _aonline resource
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347 _atext file
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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 _aDistribution (Probability theory.
650 0 _aMathematical physics.
650 0 _aStatistical physics.
650 1 4 _aProbability Theory and Stochastic Processes.
_0http://scigraph.springernature.com/things/product-market-codes/M27004
650 2 4 _aMathematical Methods in Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19013
650 2 4 _aComplex Systems.
_0http://scigraph.springernature.com/things/product-market-codes/P33000
650 2 4 _aStatistical Physics and Dynamical Systems.
_0http://scigraph.springernature.com/things/product-market-codes/P19090
700 1 _aGayrard, Véronique.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aKistler, Nicola.
_eeditor.
_4edt
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710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319176734
776 0 8 _iPrinted edition:
_z9783319176758
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2143
856 4 0 _uhttps://doi.org/10.1007/978-3-319-17674-1
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