Correlated random systems[electronic...
Gayrard, Veronique.

 

  • Correlated random systems[electronic resource] :five different methods : CIRM Jean-Morlet Chair, Spring 2013 /
  • 紀錄類型: 書目-語言資料,印刷品 : Monograph/item
    杜威分類號: 519.23
    書名/作者: Correlated random systems : five different methods : CIRM Jean-Morlet Chair, Spring 2013 // edited by Veronique Gayrard, Nicola Kistler.
    其他作者: Gayrard, Veronique.
    出版者: Cham : : Springer International Publishing :, 2015.
    面頁冊數: vii, 205 p. : : ill. (some col.), digital ;; 24 cm.
    Contained By: Springer eBooks
    標題: Random fields.
    標題: Probabilities.
    標題: Mathematics.
    標題: Probability Theory and Stochastic Processes.
    標題: Mathematical Methods in Physics.
    標題: Statistical Physics, Dynamical Systems and Complexity.
    ISBN: 9783319176741 (electronic bk.)
    ISBN: 9783319176734 (paper)
    內容註: 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.
    摘要、提要註: 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.
    電子資源: http://dx.doi.org/10.1007/978-3-319-17674-1
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