Format:
Online-Ressource
ISBN:
9783034602440
Series Statement:
Progress in Probability 64
Content:
These proceedings represent the current state of research on the topics 'boundary theory' and 'spectral and probability theory' of random walks on infinite graphs. They are the result of the two workshops held in Styria (Graz and St. Kathrein am Offenegg, Austria) between June 29th and July 5th, 2009. Many of the participants joined both meetings. Even though the perspectives range from very different fields of mathematics, they all contribute with important results to the same wonderful topic from structure theory, which, by extending a quotation of Laurent Saloff-Coste, could be described by
Note:
Description based upon print version of record
,
Random Walks, Boundaries and Spectra; Contents; Preface; An Inaccessible Graph; A Local Limit Theorem for Random Walks on the Chambers of A˜2 Buildings; On Continuity of Range, Entropy and Drift for Random Walks on Groups; Polynomial Growth, Recurrence and Ergodicityfor Random Walks on Locally Compact Groups and Homogeneous Spaces; Ergodic Theorems for Homogeneous Dilations; Boundaries from Inhomogeneous Bernoulli Trials; Resistance Boundaries of Infinite Networks; Brownian Motion and Negative Curvature; Stochastically Incomplete Manifolds and Graphs
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Generalized Solutions and Spectrum for Dirichlet Forms on GraphsA Geometric Approach toAbsolutely Continuous Spectrum for Discrete Schrödinger Operators; Some Spectral and Geometric Aspectsof Countable Groups; Percolation Hamiltonians; Survey of Scalings for the Largest Connected Component in Inhomogeneous Random Graphs; Partition Functions of the Ising Model on Some Self-similar Schreier Graphs; Aspects of Toeplitz Determinants;
Language:
English
Keywords:
Irrfahrtsproblem
;
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