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Probability on Trees and Networks

Author: Russell Lyons with Yuval Peres
Url: http://mypage.iu.edu/~rdlyons/prbtree/prbtree.html
Format: Pdf
Year: 2005
Category: Networks, Probability Theory
Pages: 422
Clicks: 954

Contents: Some Highlights Random Walks and Electric Networks Infinite Electrical Networks and Dirichlet Functions Percolation on Trees Isoperimetric Inequalities Percolation on Transitive Graphs The Mass-Transport Principle and Percolation Uniform Spanning Trees Uniform Spanning Forests Minimal Spanning Forests Limit Theorems for Galton-Watson Processes Speed of Random Walks Hausdorff Dimension Capacity Harmonic Measure on Galton-Watson Trees Tree-Indexed Processes (to be written) Ising Models and Recursions (to be written) Fractal Percolation (to be written) Comments on Exercises Bibliography Glossary of Notation.

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