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Birkhäuser

Random Walks, Boundaries and Spectra

  • Conference proceedings
  • © 2011

Overview

Editors:
  1. Daniel Lenz

    1. Mathematisches Inst., Universität Jena, Jena, Germany

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  2. Florian Sobieczky

    1. Inst. Mathematik C, TU Graz, Graz, Austria

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    You can also search for this editor in PubMed   Google Scholar

  3. Wolfgang Woess

    1. Inst. Mathematik C, TU Graz, Graz, Austria

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    You can also search for this editor in PubMed   Google Scholar

  • 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
  • Includes supplementary material: sn.pub/extras

Part of the book series: Progress in Probability (PRPR, volume 64)

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Table of contents (16 papers)

  1. Front Matter

    Pages i-xxvi
    Download chapter PDF

  2. An Inaccessible Graph

    • M. J. Dunwoody
    Pages 1-14

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

    • James Parkinson, Bruno Schapira
    Pages 15-53

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

    • Anna Erschler
    Pages 55-64

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

    • Yves Guivarc’h, C. R. E. Raja
    Pages 65-74

  6. Ergodic Theorems for Homogeneous Dilations

    • Michael Björklund
    Pages 75-89

  7. Boundaries from Inhomogeneous Bernoulli Trials

    • Alexander Gnedin
    Pages 91-110

  8. Resistance Boundaries of Infinite Networks

    • Palle E. T. Jorgensen, Erin P. J. Pearse
    Pages 111-142

  9. Brownian Motion and Negative Curvature

    • Marc Arnaudon, Anton Thalmaier
    Pages 143-161

  10. Stochastically Incomplete Manifolds and Graphs

    • Radosław Krzysztof Wojciechowski
    Pages 163-179

  11. Generalized Solutions and Spectrum for Dirichlet Forms on Graphs

    • Sebastian Haeseler, Matthias Keller
    Pages 181-199

  12. A Geometric Approach to Absolutely Continuous Spectrum for Discrete Schrödinger Operators

    • Richard Froese, David Hasler, Wolfgang Spitzer
    Pages 201-226

  13. Some Spectral and Geometric Aspects of Countable Groups

    • Alexander Bendikov, Barbara Bobikau, Christophe Pittet
    Pages 227-234

  14. Percolation Hamiltonians

    • Peter Müller, Peter Stollmann
    Pages 235-258

  15. Survey of Scalings for the Largest Connected Component in Inhomogeneous Random Graphs

    • Tatyana S. Turova
    Pages 259-275

  16. Partition Functions of the Ising Model on Some Self-similar Schreier Graphs

    • Daniele D’Angeli, Alfredo Donno, Tatiana Nagnibeda
    Pages 277-304

  17. Aspects of Toeplitz Determinants

    • Igor Krasovsky
    Pages 305-324
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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'.

Editors and Affiliations

  • Mathematisches Inst., Universität Jena, Jena, Germany

    Daniel Lenz

  • Inst. Mathematik C, TU Graz, Graz, Austria

    Florian Sobieczky, Wolfgang Woess

Bibliographic Information

  • Book Title: Random Walks, Boundaries and Spectra

  • Editors: Daniel Lenz, Florian Sobieczky, Wolfgang Woess

  • Series Title: Progress in Probability

  • DOI: https://doi.org/10.1007/978-3-0346-0244-0

  • Publisher: Birkhäuser Basel

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Birkhäuser Basel AG 2011

  • Hardcover ISBN: 978-3-0346-0243-3Published: 08 May 2011

  • Softcover ISBN: 978-3-0348-0330-4Published: 15 July 2013

  • eBook ISBN: 978-3-0346-0244-0Published: 16 June 2011

  • Series ISSN: 1050-6977

  • Series E-ISSN: 2297-0428

  • Edition Number: 1

  • Number of Pages: XXVI, 326

  • Topics: Probability Theory and Stochastic Processes

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