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Markov Paths, Loops and Fields

Markov Paths, Loops and Fields École d'Été De Probabilités De Saint-Flour XXXVIII-2008 - Lecture Notes in Mathematics

2011

Paperback (06 Jul 2011)

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Publisher's Synopsis

The purpose of these notes is to explore some simple relations between Markovian path and loop measures, the Poissonian ensembles of loops they determine, their occupation fields, uniform spanning trees, determinants, and Gaussian Markov fields such as the fre field. These relations are first studied in complete generality for the finite discrete setting, then partly generalized to specific examples in infinite and continuous spaces.

Book information

ISBN: 9783642212154
Publisher: Springer Berlin Heidelberg
Imprint: Springer
Pub date:
Edition: 2011
DEWEY: 519.233
DEWEY edition: 23
Language: English
Number of pages: 124
Weight: 299g
Height: 235mm
Width: 155mm
Spine width: 8mm