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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. Björklund B. Bobikau D. D’Angeli A. Donno M.J. Dunwoody A. Erschler R. Froese A. Gnedin Y. Guivarc’h S. Haeseler D. Hasler P.E.T. Jorgensen M. Keller I. Krasovsky P. Müller 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.
Boundary value problems -- Congresses. --- Combinatorial probabilities. --- Mathematics. --- Random walks (Mathematics) -- Congresses. --- Mathematics --- Physical Sciences & Mathematics --- Mathematical Statistics --- Random walks (Mathematics) --- Spectral theory (Mathematics) --- Boundary value problems. --- Additive process (Probability theory) --- Random walk process (Mathematics) --- Walks, Random (Mathematics) --- Boundary conditions (Differential equations) --- Probabilities. --- Probability Theory and Stochastic Processes. --- Differential equations --- Functions of complex variables --- Mathematical physics --- Initial value problems --- Functional analysis --- Hilbert space --- Measure theory --- Transformations (Mathematics) --- Stochastic processes --- Distribution (Probability theory. --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk
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Operational research. Game theory --- stochastische analyse --- kansrekening
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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. Björklund B. Bobikau D. D'Angeli A. Donno M.J. Dunwoody A. Erschler R. Froese A. Gnedin Y. Guivarc'h S. Haeseler D. Hasler P.E.T. Jorgensen M. Keller I. Krasovsky P. Müller 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
Operational research. Game theory --- stochastische analyse --- kansrekening
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