Titlebook: Random Walks, Random Fields, and Disordered Systems; Anton Bovier,David Brydges,Gregory F. Lawler,Marek Book 2015 Springer International P

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0075-8434 tudents with a modest background in probability and mathematical physics, although they could also be enjoyed by seasoned researchers interested in learning about recent advances in the above f978-3-319-19338-0978-3-319-19339-7Series ISSN 0075-8434 Series E-ISSN 1617-9692

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Accolade

Random Walks, Random Fields, and Disordered Systems

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Phase Transitions in Discrete Structures, has led to many intriguing predictions as to, e.g., the precise location and nature of phase transitions and the performance of algorithms. In these notes I give a brief survey of the cavity method as well as an introduction into recent mathematical research aiming at putting the cavity method on a rigorous foundation.

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Lecture Notes in Mathematicshttp://image.papertrans.cn/r/image/821107.jpg

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https://doi.org/10.1007/978-3-319-19339-760J85;60K35;60K05;82D30;82B28;82B41;05D40;82B26; ; Cavity Method; Disordered System; Loop-Soup Model; Ran

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978-3-319-19338-0Springer International Publishing Switzerland 2015

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Random Walks, Random Fields, and Disordered Systems978-3-319-19339-7Series ISSN 0075-8434 Series E-ISSN 1617-9692

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The Renormalization Group and Self-avoiding Walk,These notes describe an application of the renormalization group to a continuous time weakly self-avoiding walk on a four dimensional lattice. The description includes