Markov Paths, Loops and Fields

Markov Paths, Loops and Fields
Author :
Publisher : Springer Science & Business Media
Total Pages : 128
Release :
ISBN-10 : 9783642212154
ISBN-13 : 3642212158
Rating : 4/5 (54 Downloads)

Book Synopsis Markov Paths, Loops and Fields by : Yves Le Jan

Download or read book Markov Paths, Loops and Fields written by Yves Le Jan and published by Springer Science & Business Media. This book was released on 2011-07-06 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


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