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Part I. The Type Problem:
1. Basic facts;
2. Recurrence and transience of infinite networks;
3. Applications to random walks;
4. Isoperimetric inequalities;
5. Transient subtrees, and the classification of the recurrent quasi transitive graphs;
6. More on recurrence;
Part II. The Spectral Radius:
7. Superharmonic functions and r-recurrence;
8. The spectral radius;
9. Computing the Green function;
10. Spectral radius and strong isoperimetric inequality;
11. A lower bound for simple random walk;
12. Spectral radius and amenability;
Part III. The Asymptotic Behaviour of Transition Probabilities:
13. The local central limit theorem on the grid;
14. Growth, isoperimetric inequalities, and the asymptotic type of random walk;
15. The asymptotic type of random walk on amenable groups;
16. Simple random walk on the Sierpinski graphs;
17. Local limit theorems on free products;
18. Intermezzo;
19. Free groups and homogenous trees;
Part IV. An Introduction to Topological Boundary Theory:
20. Probabilistic approach to the Dirichlet problem, and a class of compactifications;
21. Ends of graphs and the Dirichlet problem;
22. Hyperbolic groups and graphs;
23. The Dirichlet problem for circle packing graphs;
24. The construction of the Martin boundary;
25. Generalized lattices, Abelian and nilpotent groups, and graphs with polynomial growth;
27. The Martin boundary of hyperbolic graphs;
28. Cartesian products.
| Price | Condition | Delivery | Seller | Action |
| $119.23 | Digital |
| WonderClub |
Jorge Pena Duran
reviewed Random Walks on Infinite Graphs and Groups on August 05, 2019
Random Walks on Infinite Graphs and Groups
The 2nd volume of selected papers from CRYPTOLOGIA, including:
- Articles on automated analysis of substitution ciphers
- Pictorial discussion on the proper use of an Enigma
- The St. Paul's Churchyard tombstone ciphers
- Analysis of the Beale Ciphers
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Add Random Walks on Infinite Graphs and Groups, This eminent work focuses on the interplay between the behavior of random walks and discrete structure theory. Wolfgang Woess considers Markov chains whose state space is equipped with the structure of an infinite, locally-finite graph, or of a finitely g, Random Walks on Infinite Graphs and Groups to the inventory that you are selling on WonderClubX
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Add Random Walks on Infinite Graphs and Groups, This eminent work focuses on the interplay between the behavior of random walks and discrete structure theory. Wolfgang Woess considers Markov chains whose state space is equipped with the structure of an infinite, locally-finite graph, or of a finitely g, Random Walks on Infinite Graphs and Groups to your collection on WonderClub |