Lecture Notes in Mathematics: École d'Été de Probabilités de Saint-Flour XXXVIII – 2008

Le Jan, Yves

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.

Details

Published by: Springer

Publication Date: 2011-07-06

Format: Paperback

ISBN-13: 9783642212154

DOI: 10.1007/978-3-642-21216-1

Dimensions: 235cm x155cm

Pages: 124