Random Walks and Discrete Potential Theory
Cambridge University Press
Published on 18. November 1999
Book
Hardback
371 pages
978-0-521-77312-6 (ISBN)
Description
This book covers the interplay between the behaviour of a class of stochastic processes (random walks) and structure theory. Written by leading researchers, this collection of invited papers presents links with spectral theory and discrete potential theory, besides probabilistic and structure theoretic aspects. Its interdisciplinary approach spans several areas of mathematics including geometric group theory, discrete geometry and harmonic analysis, and will be of interest to researchers and post-graduate students, both in mathematics and statistical physics.
More details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Illustrations
18 Line drawings, unspecified
Dimensions
Height: 237 mm
Width: 157 mm
Thickness: 24 mm
Weight
620 gr
ISBN-13
978-0-521-77312-6 (9780521773126)
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Schweitzer Classification
Persons
Author
Universita degli Studi di Roma 'Tor Vergata'
Technische Universitaet Graz, Austria
Content
1. Green's functions, generalized first eigenvalues and perturbation of diffusions or Markov chains Alano Ancona; 2. Random walks on graphical Sierpinski carpets Martin T. Barlow and Richard F. Bass; 3. Percolation perturbations in potential theory and random walks Itai Benjamini, Russell Lyons and Oded Schramm; 4. Twist surfaces Robert Brooks; 5. Harmonic functions on buildings of type An Donald Cartwright; 6. Spectre d'operateurs differentiels sur les graphes Yves Colin de Veriere; 7. Analysis on infinite graphs with regular volume growth Thierry Coulhon; 8. On the asymptotic spectrum of random walks on infinite families of graphs Rostislav I. Grigorchuk and Andrzej Zuk; 9. Stochastic pin-ball Geoffrey R. Grimmett; 10. A discrete time Harnak inequality and its applications Vadim A. Kaimanovich; 11. Multifractal nature of two dimensional simple random walk paths Gregory F. Lawler; 12. Energy and cutsets in infinite percolation clusters David Levin and Yuval Peres; 13. On discrete groups and pointwise ergodic theory Amos Nevo; 14. Random walk and isoperimetry on discrete subgroups of Lie groups Christophe Pittet and Laurent Saloff-Coste; 15. Distance distortion on Lie groups Nicholas Th. Varopoulos.