000 01722cam a22002658i 4500
001 138112
003 ISI Library, Kolkata
005 20250522020009.0
008 160606s2016 nyu b 001 0 eng
020 _a9781107160156 (hardback : alk. paper)
040 _aISI Library
082 0 4 _a511.52
_223
_bL991
100 1 _aLyons, Russell,
_eauthor
245 1 0 _aProbability on trees and networks /
_cRussell Lyons and Yuval Peres.
260 _aNew York NY :
_bCambridge University Press,
_c2016.
300 _axv, 699 pages, 8 unnumbered pages of plates :
_billustrations (some color) ;
_c27 cm.
490 0 _aCambridge series in statistical and probabilistic mathematics
504 _aIncludes bibliographical references and index.
505 0 _a1. 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.
520 _aConsolidating over sixty years of research, this authoritative account of probability on networks is indispensable to anyone in the field.
650 0 _aStochastic processes.
650 0 _aTrees (Graph theory)
700 1 _aPeres, Yuval,
_eauthor
942 _2ddc
_cBK
_02
999 _c424195
_d424195