TY - GEN AU - Woess,Wolfgang ED - European Mathematical Society TI - Denumerable Markov chains: generating functions, boundary theory, random walks on trees T2 - EMS textbooks in mathematics SN - 9783037190715 PY - 2009/// CY - Zurich, Switzerland PB - European Mathematical Society KW - Markov proces KW - Generating functi KW - Random walks (Mathemat KW - Boundary value probl KW - Measure the KW - Baum (Mathematik) KW - Irrfahrtsproblem KW - Markov-Kette KW - Martin-Rand KW - Potenzialtheorie N1 - Cuprinde bibliografie si index; Donatie European Mathematical Society; Preliminaries and basic facts -- Irreducible classes -- Recurrence and transience, convergence, and the ergodic theorem -- Reversible Markov chains -- Models of population evolution -- Elements of the potential theory of transient Markov chains -- The Martin boundary of transient Markov chains -- Minimal harmonic functions on Euclidean lattices -- Nearest neighbour random walks on trees -- Solutions of all exerci ER -