Markov Paths, Loops and Fields

École d'Été de Probabilités de Saint-Flour XXXVIII – 2008

von Yves Le Jan

124 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• ISBN: 9783642212154
• Sprache: Englisch
• Erscheinungsdatum: 06.07.2011
• Genre: Mathematik/Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik
• Verlag: Springer Berlin