The Wulff Crystal in Ising and Percolation Models (Record no. 29341)

000 -LEADER
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 ## -
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337 ## -
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338 ## -
-- online resource
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347 ## -
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830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
-- 0075-8434 ;
Holdings
Withdrawn status Lost status Damaged status Not for loan Current library Accession Number Uniform Resource Identifier Koha item type
        IMSc Library EBK47 http://dx.doi.org/10.1007/b128410 E-BOOKS
The Institute of Mathematical Sciences, Chennai, India

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