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 -