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. Björklund, 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 Schrödinger Operators.- A. Bendikov, B. Bobikau and C. Pittet, Some Spectral and Geometric Aspects of Countable Groups.- P. Müller 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.
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. Björklund, 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 Schrödinger Operators.- A. Bendikov, B. Bobikau and C. Pittet, Some Spectral and Geometric Aspects of Countable Groups.- P. Müller 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.
'French knows how to conjure [an] imagined past, full of detail about how people lived during particular periods and within particular cultures'
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Martin lives in the city with his mum...
The simplest mathematical model of the Brownian motion of physics is the simple, symmetric random walk. This book collects and compares current results - mostly strong theorems which describe the...
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