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Random Walks and Discrete Potential Theory

Random Walks and Discrete Potential Theory

Part of Symposia Mathematica

  • Authors:
  • M. Picardello, Università degli Studi di Roma 'Tor Vergata'
  • W. Woess, Technische Universität Graz, Austria
Alano Ancona, Martin T. Barlow, Richard F. Bass, Itai Benjamini, Russell Lyons, Oded Schramm, Robert Brooks, Donald Cartwright, Yves Colin de Verière, Thierry Coulhon, Rostislav I. Grigorchuk, Andrzej Zuk, Geoffrey R. Grimmett, Vadim A. Kaimanovich, Gregory F. Lawler, David Levin, Yuval Peres, Amos Nevo, Christophe Pittet, Laurent Saloff-Coste, Nicholas Th. Varopoulos
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  • Date Published: November 1999
  • availability: Unavailable - out of print
  • format: Hardback
  • isbn: 9780521773126

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About the Authors
  • 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.

    • First comprehensive text on the subject
    • Contains up-to-date research
    • Contributors are leading names in the field
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    Product details

    • Date Published: November 1999
    • format: Hardback
    • isbn: 9780521773126
    • length: 371 pages
    • dimensions: 237 x 157 x 24 mm
    • weight: 0.62kg
    • contains: 18 b/w illus.
    • availability: Unavailable - out of print
  • Table of Contents

    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 Ãn Donald Cartwright
    6. Spectre d'opérateurs différentiels sur les graphes Yves Colin de Verière
    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.

  • Authors

    M. Picardello, Università degli Studi di Roma 'Tor Vergata'

    W. Woess, Technische Universität Graz, Austria

    Contributors

    Alano Ancona, Martin T. Barlow, Richard F. Bass, Itai Benjamini, Russell Lyons, Oded Schramm, Robert Brooks, Donald Cartwright, Yves Colin de Verière, Thierry Coulhon, Rostislav I. Grigorchuk, Andrzej Zuk, Geoffrey R. Grimmett, Vadim A. Kaimanovich, Gregory F. Lawler, David Levin, Yuval Peres, Amos Nevo, Christophe Pittet, Laurent Saloff-Coste, Nicholas Th. Varopoulos

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