Probability on trees and networks

Starting around the late 1950s, several research communities began relating the geometry of graphs to stochastic processes on these graphs. This book, twenty years in the making, ties together research in the field, encompassing work on percolation, isoperimetric inequalities, eigenvalues, transitio...

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Detalles Bibliográficos
Otros Autores: Lyons, Russell, autor (autor), Peres, Y. (Yuval), autor
Formato: Libro electrónico
Idioma:Inglés
Publicado: New York : Cambridge University Press 2016.
Colección:CUP ebooks.
Cambridge series in statistical and probabilistic mathematics ; 42.
Acceso en línea:Conectar con la versión electrónica
Ver en Universidad de Navarra:https://innopac.unav.es/record=b45476664*spi
Descripción
Sumario:Starting around the late 1950s, several research communities began relating the geometry of graphs to stochastic processes on these graphs. This book, twenty years in the making, ties together research in the field, encompassing work on percolation, isoperimetric inequalities, eigenvalues, transition probabilities, and random walks. Written by two leading researchers, the text emphasizes intuition, while giving complete proofs and more than 850 exercises. Many recent developments, in which the authors have played a leading role, are discussed, including percolation on trees and Cayley graphs, uniform spanning forests, the mass-transport technique, and connections on random walks on graphs to embedding in Hilbert space. This state-of-the-art account of probability on networks will be indispensable for graduate students and researchers alike.
Descripción Física:1 recurso electrónico (xv, 698 páginas)
Formato:Forma de acceso: World Wide Web.
ISBN:9781316672815