Book contents
- Frontmatter
- Contents
- Preface
- Conference Photographs
- 1 Growth of Groups and Wreath Products
- 2 Random Walks on Some Countable Groups
- 3 The Cost of Distinguishing Graphs
- 4 A Construction of the Measurable Poisson Boundary: From Discrete to Continuous Groups
- 5 Structure Trees, Networks and Almost Invariant Sets
- 6 Amenability of Trees
- 7 Group-Walk Random Graphs
- 8 Ends of Branching Random Walks on Planar Hyperbolic Cayley Graphs
- 9 Amenability and Ergodic Properties of Topological Groups: From Bogolyubov Onwards
- 10 Schreier Graphs of Grigorchuk's Group and a Subshift Associated to a Nonprimitive Substitution
- 11 Thompson's Group F is Not Liouville
- 12 A Proof of the Subadditive Ergodic Theorem
- 13 Boundaries of Zn-Free Groups
- 14 Buildings, Groups of Lie Type and Random Walks
- 15 On Some Random Walks Driven by Spread-Out Measures
- 16 Topics on Mathematical Crystallography
- References
9 - Amenability and Ergodic Properties of Topological Groups: From Bogolyubov Onwards
Published online by Cambridge University Press: 20 July 2017
Book contents
- Frontmatter
- Contents
- Preface
- Conference Photographs
- 1 Growth of Groups and Wreath Products
- 2 Random Walks on Some Countable Groups
- 3 The Cost of Distinguishing Graphs
- 4 A Construction of the Measurable Poisson Boundary: From Discrete to Continuous Groups
- 5 Structure Trees, Networks and Almost Invariant Sets
- 6 Amenability of Trees
- 7 Group-Walk Random Graphs
- 8 Ends of Branching Random Walks on Planar Hyperbolic Cayley Graphs
- 9 Amenability and Ergodic Properties of Topological Groups: From Bogolyubov Onwards
- 10 Schreier Graphs of Grigorchuk's Group and a Subshift Associated to a Nonprimitive Substitution
- 11 Thompson's Group F is Not Liouville
- 12 A Proof of the Subadditive Ergodic Theorem
- 13 Boundaries of Zn-Free Groups
- 14 Buildings, Groups of Lie Type and Random Walks
- 15 On Some Random Walks Driven by Spread-Out Measures
- 16 Topics on Mathematical Crystallography
- References
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- Groups, Graphs and Random Walks , pp. 215 - 249Publisher: Cambridge University PressPrint publication year: 2017
References
[Day–61] , Fixed-point theorems for compact sets, Illinois J. Math. 5 (1961), 585–590.Google Scholar
[Day–64] , Correction to my paper “Fixed-point theorems for compact sets”, Illinois J. Math. 8 (1964), 713.Google Scholar
[Simo–72] , A remark on groups with the fixed point property, Proc. Amer. Math. Soc. 32 (1972), 623–624.Google Scholar
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