The Wulff crystal in Ising and percolation models: Ecole d’Ete de Probabilites de Saint-Flour XXXIV, 2004

Raphaël Cerf, Jean Picard3540309888, 9783540309888, 9783540348061

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.

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Table of contents :
1878-front-matter……Page 1
1878-3-12……Page 12
1878-15-24……Page 22
1878-25-29……Page 32
1878-31-42……Page 37
1878-45-64……Page 49
1878-67-74……Page 69
1878-75-84……Page 77
1878-85-102……Page 87
1878-105-116……Page 105
1878-117-127……Page 117
1878-129-145……Page 128
1878-147-155……Page 145
1878-159-172……Page 154
1878-173-188……Page 168
1878-189-199……Page 184
1878-203-214……Page 195
1878-215-228……Page 207
1878-229-239……Page 221
1878-241-252……Page 232
1878-back-matter……Page 244