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Markov Paths, Loops and Fields École d'Été de Probabilités de Saint-Flour XXXVIII - 2008 /

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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Le Jan, Yves (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2011.
Edición:1st ed. 2011.
Colección:École d'Été de Probabilités de Saint-Flour ; 2026
Temas:
Acceso en línea:Texto Completo
Descripción
Sumario: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.
Descripción Física:VIII, 124 p. 9 illus. online resource.
ISBN:9783642212161