Markov Paths, Loops and Fields

Sommario

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.

Dettagli sul prodotto

• Autori: Yves Le Jan
• Editore: Springer, Berlin
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 06.07.2011
• EAN: 9783642212154
• ISBN: 978-3-642-21215-4
• Pagine: 124
• Dimensioni: 157 mm x 7 mm x 234 mm
• Peso: 218 g
• Illustrazioni: VIII, 124 p. 9 illus.
• Serie: Lecture Notes in Mathematics; École d'Été de Probabilités de Saint-Flour
• Categorie: Scienze naturali, medicina, informatica, tecnica > Matematica > Teoria delle probabilità, stocastica, statistica matematica; B, Mathematics and Statistics, Probability Theory and Stochastic Processes, Probabilities, Stochastics, Probability Theory, Potential Theory, Potential theory (Mathematics)