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The Wulff Crystal in Ising and Percolation Models : Ecole d'Eté de Probabilités de Saint-Flour XXXIV - 2004 / by Raphaël Cerf ; edited by Jean Picard
(École d'Été de Probabilités de Saint-Flour ; 1878)
Edition | 1st ed. 2006. |
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Publisher | (Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer) |
Year | 2006 |
Language | English |
Size | XIV, 264 p : online resource |
Authors | *Cerf, Raphaël author Picard, Jean editor SpringerLink (Online service) |
Subjects | LCSH:Probabilities LCSH:Mathematical physics LCSH:Mathematical optimization LCSH:Calculus of variations FREE:Probability Theory FREE:Theoretical, Mathematical and Computational Physics FREE:Calculus of Variations and Optimization |
Notes | 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 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 HTTP:URL=https://doi.org/10.1007/b128410 |
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E-Book | Location | Media type | Volume | Call No. | Status | Reserve | Comments | ISBN | Printed | Restriction | Designated Book | Barcode No. |
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E-Book | オンライン | 電子ブック |
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Springer eBooks | 9783540348061 |
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電子リソース |
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EB00235949 |
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Material Type | E-Book |
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Classification | LCC:QA273.A1-274.9 DC23:519.2 |
ID | 4000115954 |
ISBN | 9783540348061 |
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