UID:
almahu_9947363907802882
Format:
XIV, 264 p.
,
online resource.
ISBN:
9783540348061
Series Statement:
Lecture Notes in Mathematics, 1878
Content:
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.
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.
In:
Springer eBooks
Additional Edition:
Printed edition: ISBN 9783540309888
Language:
English
Subjects:
Mathematics
Keywords:
Konferenzschrift
URL:
http://dx.doi.org/10.1007/b128410
