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# đź“™ Random walks, boundaries and spectra by M. J. Dunwoody (auth.), Daniel Lenz, Florian Sobieczky, Wolfgang Woess (eds.) â€” download pdf

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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 'exploration of groups by random processes'.

Contributors:

M. Arnaudon

A. Bendikov

M. BjĂ¶rklund

B. Bobikau

D. Dâ€™Angeli

A. Donno

M.J. Dunwoody

A. Erschler

R. Froese

A. Gnedin

Y. Guivarcâ€™h

S. Haeseler

D. Hasler

P.E.T. Jorgensen

M. Keller

I. Krasovsky

P. MĂĽller

T. Nagnibeda

J. Parkinson

E.P.J. Pearse

C. Pittet

C.R.E. Raja

B. Schapira

W. Spitzer

P. Stollmann

A. Thalmaier

T.S. Turova

R.K. Wojciechowski

- Series:
**Progress in Probability 64** - Author:
**M. J. Dunwoody (auth.), Daniel Lenz, Florian Sobieczky, Wolfgang Woess (eds.)** - Year:
**2011** - Publisher:
**BirkhĂ¤user Basel** - Language:
**English** - ISBN:
**303460243X,9783034602433**

- File size:
**3 219 092** - Format:
**pdf**

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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,...

Markov chains are among the basic and most important examples of random processes. This book is about time-homogeneous Markov chains that evolve with discrete time steps on a countable state space. A specific feature is the systematic use, on a relatively...

Historical Comments Two-dimensional random walks in domains with non-smooth boundaries interÂ est several groups of the mathematical community. In fact these objects are encountered in pure probabilistic problems, as well as in applications involvÂ ing qu...

Emanating from the theory of C*-algebras and actions of tori theoren, the problems discussed here are outgrowths of random walk problems on lattices. An AGL (d,Z)-invariant (which is a partially ordered commutative algebra) is obtained for lattice polytop...

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 properties of a random walk. The modern problems of the lim...

Random walks have proven to be a useful model in understanding processes across a wide spectrum of scientific disciplines. Elements of the Random Walk is an introduction to some of the most powerful and general techniques used in the application of these ...

Emanating from the theory of C*-algebras and actions of tori theoren, the problems discussed here are outgrowths of random walk problems on lattices. An AGL (d,Z)-invariant (which is a partially ordered commutative algebra) is obtained for lattice polytop...

Doyle P.G., Snell J.L. Random walks and electric networks (New York MAA 1984)(ISBN 0883850249)...

Classical probability theory provides information about random walks after a fixed number of steps. For applications, however, it is more natural to consider random walks evaluated after a random number of steps. Stopped Random Walks: Limit Theorems and A...