Groups, Graphs and Random Walks
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Groups, Graphs and Random Walks

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eBook - PDF

Groups, Graphs and Random Walks

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About This Book

An accessible and panoramic account of the theory of random walks on groups and graphs, stressing the strong connections of the theory with other branches of mathematics, including geometric and combinatorial group theory, potential analysis, and theoretical computer science. This volume brings together original surveys and research-expository papers from renowned and leading experts, many of whom spoke at the workshop 'Groups, Graphs and Random Walks' celebrating the sixtieth birthday of Wolfgang Woess in Cortona, Italy. Topics include: growth and amenability of groups; Schrödinger operators and symbolic dynamics; ergodic theorems; Thompson's group F; Poisson boundaries; probability theory on buildings and groups of Lie type; structure trees for edge cuts in networks; and mathematical crystallography. In what is currently a fast-growing area of mathematics, this book provides an up-to-date and valuable reference for both researchers and graduate students, from which future research activities will undoubtedly stem.

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Yes, you can access Groups, Graphs and Random Walks by Tullio Ceccherini-Silberstein,Maura Salvatori,Ecaterina Sava-Huss in PDF and/or ePUB format, as well as other popular books in Mathematics & Algebra. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Cambridge University Press
Year
2017
ISBN
9781316818268
Topic
Mathematics
Subtopic
Algebra
Index
Mathematics

Table of contents

  1. Cover
  2. Series information
  3. Title page
  4. Copyright information
  5. Table of contents
  6. Preface
  7. Conference Photographs
  8. 1 Growth of Groups and Wreath Products
  9. 2 Random Walks on Some Countable Groups
  10. 3 The Cost of Distinguishing Graphs
  11. 4 A Construction of the Measurable Poisson Boundary: From Discrete to Continuous Groups
  12. 5 Structure Trees, Networks and AlmostInvariant Sets
  13. 6 Amenability of Trees
  14. 7 Group-Walk Random Graphs
  15. 8 Ends of Branching Random Walks on Planar Hyperbolic Cayley Graphs
  16. 9 Amenability and Ergodic Properties of Topological Groups: From Bogolyubov Onwards
  17. 10 Schreier Graphs of Grigorchuk's Group and a Subshift Associated to a Nonprimitive Substitution
  18. 11 Thompson's Group F is Not Liouville
  19. 12 A Proof of the Subadditive Ergodic Theorem
  20. 13 Boundaries of mathbb Z[sup(n)]-Free Groups
  21. 14 Buildings, Groups of Lie Type and Random Walks
  22. 15 On Some Random Walks Driven by Spread-Out Measures
  23. 16 Topics on Mathematical Crystallography