Buch, Englisch, 124 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 219 g
École d'Été de Probabilités de Saint-Flour XXXVIII - 2008
Buch, Englisch, 124 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 219 g
Reihe: École d'Été de Probabilités de Saint-Flour
ISBN: 978-3-642-21215-4
Verlag: Springer
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.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
Weitere Infos & Material
1 Symmetric Markov processes on finite spaces.- 2 Loop measures.- 3 Geodesic loops.- 4 Poisson process of loops.- 5 The Gaussian free field.- 6 Energy variation and representations.- 7 Decompositions.- 8 Loop erasure and spanning trees.- 9 Reflection positivity.- 10 The case of general symmetric Markov processes.
