Markov paths, loops and fields : école d'Été de Probabilités de Saint-Flour XXXVIII-2008 / Yves Le Jan

Auteur principal collectivité : école d'été de probabilités de Saint-Flour, 38, 2008, AuteurCo-auteur : Le Jan, Yves, 1952-, AuteurType de document : CongrèsCollection : Lecture notes in mathematics, 2026Langue : anglais.Pays: Allemagne.Éditeur : Berlin : Springer, 2011Description : 1 vol. (VIII-124 p.) : fig. ; 24 cmISBN: 9783642212154.ISSN: 0075-8434.Bibliographie : Bibliogr. p. 115-117. Index.Sujet MSC : 60-02, Research exposition (monographs, survey articles) pertaining to probability theory
35Rxx, Partial differential equations - Miscellaneous topics in PDEs
90C90, Applications of mathematical programmingEn-ligne : Springerlink
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Bibliogr. p. 115-117. Index

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. (Source : 4ème de couverture)

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