An up-to-date, panoramic account of the theory of random walks on groups and graphs, outlining connections with various mathematical fields.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
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.
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.
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