Russell Lyons (Bloomington Indiana University), Yuval Peres

Probability on Trees and Networks

• Gebundenes Buch

Produktbeschreibung

This authoritative state-of-the-art account of probability on networks for graduate students and researchers in mathematics, statistics, computer science, and engineering, brings together sixty years of research, including many developments where the authors played a leading role. The text emphasizes intuition, while also giving complete proofs.

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Produktdetails

• Cambridge Series in Statistical and Probabilistic Mathematics
• Verlag: Cambridge University Press
• Seitenzahl: 716
• Erscheinungstermin: 1. März 2019
• Englisch
• Abmessung: 260mm x 183mm x 43mm
• Gewicht: 1416g
• ISBN-13: 9781107160156
• ISBN-10: 1107160154
• Artikelnr.: 45195020

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.