Ecole d'été de probabilités de Saint-Flour XXXVIII

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 studi...

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Autor principal: Jan, Yves Le
Lenguaje:eng
Publicado: Springer 2008
Materias:
math.PR
Acceso en línea:https://dx.doi.org/10.1007/978-3-642-21216-1
http://cds.cern.ch/record/1121044
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author Jan, Yves Le
author_facet Jan, Yves Le
author_sort Jan, Yves Le
collection CERN
description 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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institution Organización Europea para la Investigación Nuclear
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spelling cern-11210442021-04-25T17:18:15Zdoi:10.1007/978-3-642-21216-1http://cds.cern.ch/record/1121044engJan, Yves LeEcole d'été de probabilités de Saint-Flour XXXVIIImath.PRThe 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.SpringerarXiv:0808.2303oai:cds.cern.ch:11210442008-08-19
spellingShingle math.PR
Jan, Yves Le
Ecole d'été de probabilités de Saint-Flour XXXVIII
title Ecole d'été de probabilités de Saint-Flour XXXVIII
title_full Ecole d'été de probabilités de Saint-Flour XXXVIII
title_fullStr Ecole d'été de probabilités de Saint-Flour XXXVIII
title_full_unstemmed Ecole d'été de probabilités de Saint-Flour XXXVIII
title_short Ecole d'été de probabilités de Saint-Flour XXXVIII
title_sort ecole d'été de probabilités de saint-flour xxxviii
topic math.PR
url https://dx.doi.org/10.1007/978-3-642-21216-1
http://cds.cern.ch/record/1121044
work_keys_str_mv AT janyvesle ecoledetedeprobabilitesdesaintflourxxxviii

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