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.
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语言 英语 ● 格式 PDF ● ISBN 9783642212161 ● 出版者 Springer Berlin Heidelberg ● 发布时间 2011 ● 下载 3 时 ● 货币 EUR ● ID 6322397 ● 复制保护 Adobe DRM
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