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Probability on trees and networks / Russell Lyons and Yuval Peres.

By: Contributor(s): Material type: TextTextSeries: 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)
Subject(s): DDC classification:
  • 511.52 23 L991
Contents:
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.
Summary: Consolidating over sixty years of research, this authoritative account of probability on networks is indispensable to anyone in the field.
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Holdings
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
Total holds: 0

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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