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Markov Paths, Loops and Fields

Name: Markov Paths, Loops and Fields
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 01658036
Price: 36.24 EUR
Availability: InStock
Author: Yves LeJan
ISBN: 9783642212154

Yves LeJan

Language

English

Book Paperback

Libristo code: 01658036

Publishers Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, July 2011

The purpose of these notes is to explore some simple relations between Markovian path and loop measu... Full description

Libristo code: 01658036

88 b

36.24 €

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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.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 free 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.