The Wulff Crystal in Ising and Percolation Models (Record no. 29341)
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000 -LEADER | |
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fixed length control field | 02928nam a22005415i 4500 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
ISBN | 9783540348061 |
-- | 978-3-540-34806-1 |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 519.2 |
100 1# - MAIN ENTRY--AUTHOR NAME | |
Personal name | Cerf, Raphaël. |
245 14 - TITLE STATEMENT | |
Title | The Wulff Crystal in Ising and Percolation Models |
Sub Title | Ecole d'Eté de Probabilités de Saint-Flour XXXIV - 2004 / |
Statement of responsibility, etc | by Raphaël Cerf ; edited by Jean Picard. |
260 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
Place of publication | Berlin, Heidelberg : |
Name of publisher | Springer Berlin Heidelberg, |
Year of publication | 2006. |
300 ## - PHYSICAL DESCRIPTION | |
Number of Pages | XIV, 264 p. |
Other physical details | online resource. |
490 1# - SERIES STATEMENT | |
Series statement | Lecture Notes in Mathematics, |
505 0# - FORMATTED CONTENTS NOTE | |
Formatted contents note | 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. |
520 ## - SUMMARY, ETC. | |
Summary, etc | 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. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Mathematics. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Mathematical optimization. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Distribution (Probability theory). |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Mathematical physics. |
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Mathematics. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Probability Theory and Stochastic Processes. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Mathematical and Computational Physics. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Calculus of Variations and Optimal Control; Optimization. |
700 1# - ADDED ENTRY--PERSONAL NAME | |
Personal name | Picard, Jean. |
856 40 - ELECTRONIC LOCATION AND ACCESS | |
Uniform Resource Identifier | http://dx.doi.org/10.1007/b128410 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Koha item type | E-BOOKS |
264 #1 - | |
-- | Berlin, Heidelberg : |
-- | Springer Berlin Heidelberg, |
-- | 2006. |
336 ## - | |
-- | text |
-- | txt |
-- | rdacontent |
337 ## - | |
-- | computer |
-- | c |
-- | rdamedia |
338 ## - | |
-- | online resource |
-- | cr |
-- | rdacarrier |
347 ## - | |
-- | text file |
-- | |
-- | rda |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
-- | 0075-8434 ; |
Withdrawn status | Lost status | Damaged status | Not for loan | Current library | Accession Number | Uniform Resource Identifier | Koha item type |
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IMSc Library | EBK47 | http://dx.doi.org/10.1007/b128410 | E-BOOKS |