Probability on trees and networks /

511.52
L991

138112

Lyons, Russell, Probability on trees and networks / Russell Lyons and Yuval Peres. - New York NY : Cambridge University Press, 2016.
xv, 699 pages, 8 unnumbered pages of plates : illustrations (some color) ; 27 cm. - (Cambridge series in statistical and probabilistic mathematics ) Content notes : 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. 9781107160156 (hardback : alk. paper) * Stochastic processes. Trees (Graph theory) * Peres, Yuval, * Title * Series