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＜電子ブック＞
The Wulff Crystal in Ising and Percolation Models : Ecole d'Eté de Probabilités de Saint-Flour XXXIV - 2004 / by Raphaël Cerf ; edited by Jean Picard
(École d'Été de Probabilités de Saint-Flour ; 1878)

版	1st ed. 2006.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2006
本文言語	英語
大きさ	XIV, 264 p : online resource
著者標目	*Cerf, Raphaël author Picard, Jean editor SpringerLink (Online service)
件　名	LCSH:Probabilities LCSH:Mathematical physics LCSH:Mathematical optimization LCSH:Calculus of variations FREE:Probability Theory FREE:Theoretical, Mathematical and Computational Physics FREE:Calculus of Variations and Optimization
一般注記	Phase coexistence and subadditivity -- Presentation of the models -- Ising model -- Bernoulli percolation -- FK or random cluster model -- Main results -- The Wulff crystal -- Large deviation principles -- Large deviation theory -- Surface large deviation principles -- Volume large deviations -- Fundamental probabilistic estimates -- Coarse graining -- Decoupling -- Surface tension -- Interface estimate -- Basic geometric tools -- Sets of finite perimeter -- Surface energy -- The Wulff theorem -- Final steps of the proofs -- LDP for the cluster shapes -- Enhanced upper bound -- LDP for FK percolation -- LDP for Ising This volume is a synopsis of recent works aiming at a mathematically rigorous justification of the phase coexistence phenomenon, starting from a microscopic model. It is intended to be self-contained. Those proofs that can be found only in research papers have been included, whereas results for which the proofs can be found in classical textbooks are only quoted HTTP:URL=https://doi.org/10.1007/b128410

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