000			02928nam a22005415i 4500
001			978-3-540-34806-1
003			DE-He213
005			20160624101749.0
007			cr nn 008mamaa
008			100301s2006 gw | s |||| 0|eng d
020			_a9783540348061 _9978-3-540-34806-1
024	7		_a10.1007/b128410 _2doi
050		4	_aQA273.A1-274.9
050		4	_aQA274-274.9
072		7	_aPBT _2bicssc
072		7	_aPBWL _2bicssc
072		7	_aMAT029000 _2bisacsh
082	0	4	_a519.2 _223
100	1		_aCerf, Raphaël. _eauthor.
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.
260		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2006.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2006.
300			_aXIV, 264 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aLecture Notes in Mathematics, _x0075-8434 ; _v1878
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	_aMathematics.
650		0	_aMathematical optimization.
650		0	_aDistribution (Probability theory).
650		0	_aMathematical physics.
650	1	4	_aMathematics.
650	2	4	_aProbability Theory and Stochastic Processes.
650	2	4	_aMathematical and Computational Physics.
650	2	4	_aCalculus of Variations and Optimal Control; Optimization.
700	1		_aPicard, Jean. _eeditor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783540309888
786			_dSpringer
830		0	_aLecture Notes in Mathematics, _x0075-8434 ; _v1878
856	4	0	_uhttp://dx.doi.org/10.1007/b128410
942			_2EBK47 _cEBK
999			_c29341 _d29341