Russell Lyons, Yuval Peres

Probability on Trees and Networks

• Broschiertes Buch

Produktbeschreibung

Consolidating over sixty years of research, this authoritative account of probability on networks is indispensable to anyone in the field.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 15. Juli 2021
• Englisch
• Abmessung: 251mm x 198mm x 38mm
• Gewicht: 1315g
• ISBN-13: 9781108732727
• ISBN-10: 1108732720
• Artikelnr.: 61415708

Autorenporträt

Russell Lyons is James H. Rudy Professor of Mathematics at Indiana University, Bloomington. He obtained his PhD at the University of Michigan in 1983. He has written seminal papers concerning probability on trees and random spanning trees in networks. Lyons was a Sloan Foundation Fellow and has been an Invited Speaker at the International Congress of Mathematicians and the Joint Mathematics Meetings. He is a Fellow of the American Mathematical Society.

Inhaltsangabe

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.