scientific article; zbMATH DE number 1064788
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Publication:4356135
zbMath0891.60073MaRDI QIDQ4356135
Publication date: 23 September 1997
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Sums of independent random variables; random walks (60G50) Martin boundary theory (31C35) Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Boundary theory for Markov processes (60J50)
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Doob-Martin compactification of a Markov chain for growing random words sequentially ⋮ Path decompositions for Markov chains. ⋮ Martin boundary of random walks in convex cones ⋮ Martin boundary of killed random walks on isoradial graphs ⋮ Infinite weighted graphs with bounded resistance metric ⋮ Stability phenomena for Martin boundaries of relatively hyperbolic groups ⋮ An embedding of the Morse boundary in the Martin boundary ⋮ A discrete Gauss-Green identity for unbounded Laplace operators, and the transience of random walks ⋮ The Martin boundary of a free product of abelian groups ⋮ Martin boundary of random walks with unbounded jumps in hyperbolic groups ⋮ Harmonic functions for singular quadrant walks ⋮ Multivariate risk processes with interacting intensities ⋮ Combinatiorial Markov chains ⋮ Harmonic functions of random walks in a semigroup via ladder heights ⋮ Rate of convergence for traditional Pólya urns ⋮ Martin boundary covers Floyd boundary ⋮ Thermodynamic formalism for transient potential functions ⋮ Decomposition of wavelet representations and Martin boundaries ⋮ Harmonic functions of linear growth on solvable groups ⋮ Analyticity of the entropy and the escape rate of random walks in hyperbolic groups ⋮ KMS weights on graph \(C^\ast\)-algebras ⋮ KMS states, conformal measures and ends in digraphs ⋮ Positive harmonic functions of transformed random walks ⋮ On the silhouette of binary search trees ⋮ Positive harmonic functions on the Heisenberg group. II ⋮ Entropy and drift for word metrics on relatively hyperbolic groups ⋮ Random walks on groups and KMS states ⋮ On transformations of Markov chains and Poisson boundary ⋮ Ultrametric and tree potential ⋮ The Martin boundary of relatively hyperbolic groups with virtually abelian parabolic subgroups ⋮ Linear progress with exponential decay in weakly hyperbolic groups
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