TY - BOOK
AU - Lyons,Russell
AU - Peres,Yuval
TI - Probability on trees and networks
T2 - Cambridge series in statistical and probabilistic mathematics
SN - 9781107160156 (hardback : alk. paper)
U1 - 511.52 23
PY - 2016///
CY - New York NY :
PB - Cambridge University Press,
KW - Stochastic processes
KW - Trees (Graph theory)
N1 - 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.
N2 - Consolidating over sixty years of research, this authoritative account of probability on networks is indispensable to anyone in the field
ER -