Groups, Graphs and Random Walks (eBook, ePUB)

Redaktion: Ceccherini-Silberstein, Tullio

• Format: ePub

Produktbeschreibung

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; Schrodinger 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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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 29. Juni 2017
• Englisch
• ISBN-13: 9781316817421
• Artikelnr.: 52918285

Inhaltsangabe

1. Growth of groups and wreath products Laurent Bartholdi; 2. Random walks
on some countable groups Alexander Bendikov and Laurent Saloff-Coste; 3.
The cost of distinguishing graphs Debra Boutin and Wilfried Imrich; 4. A
construction of the measurable Poisson boundary - from discrete to
continuous groups Sara Brofferio; 5. Structure trees, networks and almost
invariant sets Martin J. Dunwoody; 6. Amenability of trees Behrang Forghani
and Keivan Mallahi-Karai; 7. Group-walk random groups Agelos
Georgakopoulos; 8. Ends of branching random walks on planar hyperbolic
Cayley graphs Lorenz A. Gilch and Sebastian Müller; 9. Amenability and
ergodic properties of topological groups - from Bogolyubov onwards
Rostislav Grigorchuk and Pierre de la Harpe; 10. Schreier graphs of
Grigorchuk's group and a subshift associated to a non-primitive
substitution Rostislav Grigorchuk, Daniel Lenz and Tatiana Nagnibeda; 11.
Thompson's group F is not Liouville Vadim A. Kaimanovich; 12. A proof of
the subadditive ergodic theorem Anders Karlsson; 13. Boundaries of Zn-free
groups Andrei Malyutin, Tatiana Nagnibeda and Denis Serbin; 14. Buildings,
groups of Lie type, and random walks James Parkinson; 15. On some random
walks driven by spread-out measures Laurent Saloff-Coste and Tianyi Zheng;
16. Topics in mathematical crystallography Toshikazu Sunada.