Progress in Probability

Random Walks, Boundaries and Spectra

Editors: Lenz, Daniel, Sobieczky, Florian, Woess, Wolfgang (Eds.)

  • Leading experts' results from group-theory, probability, ergodic theory, and analysis: diverse spectrum of high level research on the topic of random walks on infinite graphs.
  • Diverse spectrum of sub-fields
  • Up-to-date overviews of random walks, graphs, spectra under different perspectives
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About this book

These proceedings represent the current state of research on the topics 'boundary theory' and 'spectral and probability theory' of random walks on infinite graphs. They are the result of the two workshops held in Styria (Graz and St. Kathrein am Offenegg, Austria) between June 29th and July 5th, 2009. Many of the participants joined both meetings. Even though the perspectives range from very different fields of mathematics, they all contribute with important results to the same wonderful topic from structure theory, which, by extending a quotation of Laurent Saloff-Coste, could be described by 'exploration of groups by random processes'.

Contributors:

M. Arnaudon
A. Bendikov
M. Björklund
B. Bobikau
D. D’Angeli
A. Donno
M.J. Dunwoody
A. Erschler
R. Froese
A. Gnedin
Y. Guivarc’h
S. Haeseler
D. Hasler
P.E.T. Jorgensen
M. Keller
I. Krasovsky
P. Müller
T. Nagnibeda
J. Parkinson
E.P.J. Pearse
C. Pittet
C.R.E. Raja
B. Schapira
W. Spitzer
P. Stollmann
A. Thalmaier
T.S. Turova
R.K. Wojciechowski

Table of contents (16 chapters)

  • An Inaccessible Graph

    Dunwoody, M. J.

    Pages 1-14

  • A Local Limit Theorem for Random Walks on the Chambers of Ã2 Buildings

    Parkinson, James (et al.)

    Pages 15-53

  • On Continuity of Range, Entropy and Drift for Random Walks on Groups

    Erschler, Anna

    Pages 55-64

  • Polynomial Growth, Recurrence and Ergodicity for Random Walks on Locally Compact Groups and Homogeneous Spaces

    Guivarc’h, Yves (et al.)

    Pages 65-74

  • Ergodic Theorems for Homogeneous Dilations

    Björklund, Michael

    Pages 75-89

Buy this book

eBook $139.00
price for USA (gross)
  • ISBN 978-3-0346-0244-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.00
price for USA
  • ISBN 978-3-0346-0243-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $179.00
price for USA
  • ISBN 978-3-0348-0330-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Random Walks, Boundaries and Spectra
Editors
  • Daniel Lenz
  • Florian Sobieczky
  • Wolfgang Woess
Series Title
Progress in Probability
Series Volume
64
Copyright
2011
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Basel AG
eBook ISBN
978-3-0346-0244-0
DOI
10.1007/978-3-0346-0244-0
Hardcover ISBN
978-3-0346-0243-3
Softcover ISBN
978-3-0348-0330-4
Series ISSN
1050-6977
Edition Number
1
Number of Pages
XXVI, 326
Topics