Random Walks, Boundaries and Spectra (Progress in Probability) （2011）

Lenz, Daniel (EDT)/ Sobieczky, Florian (EDT)/ Woess, Wolfgang (EDT)

Springer Basel（2013/07発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 326 p.
• 言語 ENG
• 商品コード 9783034803304
• DDC分類 519.282

Full Description

These proceedings represent the current state of research on the topics 'boundary theory' and 'spectral and probability theory' of random walks on infinite graphs.

Contents

Preface.- Programme of the Workshop on "Boundaries".- Programme of the Alp-Workshop 2009.- Publications of D.I. Cartwright.- Publications of M.A. Picardello.- Publications of V.A. Kaimonvich.- M.J. Dunwoody, An Inaccessible Graph.- J. Parkinson and B. Schapira, A Local Limit Theorem for Random Walks on the Chambers of A2 Buildings.- A. Erschler, On Continuity of Range, Entropy and Drift for Random Walks on Groups.- Y. Guivarc'h and C.R.E. Raja, Polynomial Growth, Recurrence and Ergodicity for Random Walks on Locally Compact Groups and Homogeneous Spaces.- M. Bjorklund, Ergodic Theorems for Homogeneous Dilations.- A. Gnedin, Boundaries from Inhomogeneous Bernoulli Trials.- P.E.T. Jorgensen and E.P.J. Pearse, Resistance Boundaries of Infinite Networks.- M. Arnaudon and A. Thalmaier, Brownian Motion and Negative Curvature.- R.K. Wojciechowski, Stochastically Incomplete Manifolds and Graphs.- S. Haeseler and M. Keller, Generalized Solutions and Spectrum for Dirichlet Forms on Graphs.- R. Froese, D. Hasler and W. Spitzer, A Geometric Approach to Absolutely Continuous Spectrum for Discrete Schrodinger Operators.- A. Bendikov, B. Bobikau and C. Pittet, Some Spectral and Geometric Aspects of Countable Groups.- P. Muller and P. Stollmann, Percolation Hamiltonians.- T.S. Turova, Survey of Scalings for the Largest Connected Component in Inhomogeneous Random Graphs.- D. D'Angeli, A. Donno and T. Nagnibeda, Partition Functions of the Ising Model on Some Self-similar Schreier Graphs.- I. Krasovsky, Aspects of Toeplitz Determinants.