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_a10.1007/b128410 _2doi |
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_aCerf, Raphaël. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 4 |
_aThe Wulff Crystal in Ising and Percolation Models _h[electronic resource] : _bEcole d'Eté de Probabilités de Saint-Flour XXXIV - 2004 / _cby Raphaël Cerf ; edited by Jean Picard. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2006. |
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300 |
_aXIV, 264 p. _bonline resource. |
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_atext _btxt _2rdacontent |
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_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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_aÉcole d'Été de Probabilités de Saint-Flour, _x0721-5363 ; _v1878 |
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505 | 0 | _aPhase 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 | _aThis 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 | _aDistribution (Probability theory. | |
650 | 0 | _aMathematical optimization. | |
650 | 1 | 4 |
_aProbability Theory and Stochastic Processes. _0http://scigraph.springernature.com/things/product-market-codes/M27004 |
650 | 2 | 4 |
_aTheoretical, Mathematical and Computational Physics. _0http://scigraph.springernature.com/things/product-market-codes/P19005 |
650 | 2 | 4 |
_aCalculus of Variations and Optimal Control; Optimization. _0http://scigraph.springernature.com/things/product-market-codes/M26016 |
700 | 1 |
_aPicard, Jean. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt |
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710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783540819059 |
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_iPrinted edition: _z9783540309888 |
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_aÉcole d'Été de Probabilités de Saint-Flour, _x0721-5363 ; _v1878 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/b128410 |
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