The Wulff Crystal in Ising and Percolation Models Ecole d'Eté de Probabilités de Saint-Flour XXXIV - 2004 /

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 whic...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Cerf, Raphaël (Autor)
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Picard, Jean (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2006.
Edición:1st ed. 2006.
Colección:École d'Été de Probabilités de Saint-Flour ; 1878
Temas:
Probabilities.
Mathematical physics.
Mathematical optimization.
Calculus of variations.
Probability Theory.
Theoretical, Mathematical and Computational Physics.
Calculus of Variations and Optimization.
Acceso en línea:Texto Completo

MARC

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250 |a 1st ed. 2006. 
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490 1 |a École d'Été de Probabilités de Saint-Flour ;  |v 1878 
505 0 |a 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. 
520 |a 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. 
650 0 |a Probabilities. 
650 0 |a Mathematical physics. 
650 0 |a Mathematical optimization. 
650 0 |a Calculus of variations. 
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650 2 4 |a Calculus of Variations and Optimization. 
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