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Titlebook: Correlated Random Systems: Five Different Methods; CIRM Jean-MorletChai Véronique Gayrard,Nicola Kistler Book 2015 Springer International P

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發(fā)表于 2025-3-21 17:11:02 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Correlated Random Systems: Five Different Methods
副標(biāo)題CIRM Jean-MorletChai
編輯Véronique Gayrard,Nicola Kistler
視頻videohttp://file.papertrans.cn/239/238760/238760.mp4
概述First book in the CIRM Jean-Morlet Chair subseries.Touches upon a huge number of hot topics in probability.The methods presented have become indispensable working tools for researchers in probability
叢書名稱Lecture Notes in Mathematics
圖書封面Titlebook: Correlated Random Systems: Five Different Methods; CIRM Jean-MorletChai Véronique Gayrard,Nicola Kistler Book 2015 Springer International P
描述.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 Method.s 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..
出版日期Book 2015
關(guān)鍵詞60B20,60F10,60G15,60G70,60J25,60J85,60K37,82B41,82C44; Extremes of large combinatorial structures; Loc
版次1
doihttps://doi.org/10.1007/978-3-319-17674-1
isbn_softcover978-3-319-17673-4
isbn_ebook978-3-319-17674-1Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer International Publishing Switzerland 2015
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,Derrida’s Random Energy Models,articular, we present a refinement of the second moment method which provides a unifying approach to models where multiple scales can be identified, such is the case for e.g. branching diffusions, the 2-dim Gaussian free field, certain issues of percolation in high dimensions, or cover times. The me
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Isomorphism Theorems: Markov Processes, Gaussian Processes and Beyond,um and the generalized second Ray-Knight theorem. In each case we give a proof and a sample application. We then introduce loop soups and permanental processes, the ingredients we use to develop an isomorphism theorem for non-symmetric Markov processes. Along the way we gain new insight into the rea
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Correlated Random Systems: Five Different Methods978-3-319-17674-1Series ISSN 0075-8434 Series E-ISSN 1617-9692
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https://doi.org/10.1007/978-3-319-17674-160B20,60F10,60G15,60G70,60J25,60J85,60K37,82B41,82C44; Extremes of large combinatorial structures; Loc
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Overview of Reservoir Sediment Contaminationidered as an additional dimension. The best known and most famous case is the directed polymer in random environment which has a potential given by independent random variables in space and time. Some of the basic questions are open even in 1 + 1 dimensions which is believed to be connected with the
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