Probability on trees and networks / Russell Lyons and Yuval Peres.
Material type:
TextSeries: Cambridge series in statistical and probabilistic mathematicsPublication details: New York NY : Cambridge University Press, 2016.Description: xv, 699 pages, 8 unnumbered pages of plates : illustrations (some color) ; 27 cmISBN: - 9781107160156 (hardback : alk. paper)
- 511.52 23 L991
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 511.52 L991 (Browse shelf(Opens below)) | Available | 138112 |
Includes bibliographical references and index.
1. Some highlights;
2. Random walks and electric networks;
3. Special networks;
4. Uniform spanning trees;
5. Branching processes, second moments, and percolation;
6. Isoperimetric inequalities;
7. Percolation on transitive graphs;
8. The mass-transport technique and percolation;
9. Infinite electrical networks and Dirichlet functions;
10. Uniform spanning forests;
11. Minimal spanning forests;
12. Limit theorems for Galton-Watson processes;
13. Escape rate of random walks and embeddings;
14. Random walks on groups and Poisson boundaries;
15. Hausdorff dimension;
16. Capacity and stochastic processes;
17. Random walks on Galton-Watson trees.
Consolidating over sixty years of research, this authoritative account of probability on networks is indispensable to anyone in the field.
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