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130626 ||| eng |
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|a 9783540348061
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| 100 |
1 |
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|a Cerf, Raphaël
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| 245 |
0 |
0 |
|a The Wulff Crystal in Ising and Percolation Models
|h Elektronische Ressource
|b Ecole d'Eté de Probabilités de Saint-Flour XXXIV - 2004
|c by Raphaël Cerf ; edited by Jean Picard
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| 250 |
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|a 1st ed. 2006
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| 260 |
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|a Berlin, Heidelberg
|b Springer Berlin Heidelberg
|c 2006, 2006
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| 300 |
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|a XIV, 264 p
|b online resource
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| 505 |
0 |
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|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
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| 653 |
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|a Calculus of Variations and Optimization
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| 653 |
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|a Probability Theory
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| 653 |
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|a Mathematical physics
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| 653 |
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|a Mathematical optimization
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| 653 |
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|a Theoretical, Mathematical and Computational Physics
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| 653 |
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|a Calculus of variations
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| 653 |
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|a Probabilities
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| 700 |
1 |
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|a Picard, Jean
|e [editor]
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| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b Springer
|a Springer eBooks 2005-
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| 490 |
0 |
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|a École d'Été de Probabilités de Saint-Flour
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| 028 |
5 |
0 |
|a 10.1007/b128410
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| 856 |
4 |
0 |
|u https://doi.org/10.1007/b128410?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
0 |
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|a 519.2
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| 520 |
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|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
|