Martin boundaries of cartesian products of markov chains

DOI10.1017/S0027763000004256zbMath0766.60096MaRDI QIDQ4039434

Wolfgang Woess, Massimo A. Picardello

Publication date: 13 June 1993

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Martin boundaryMarkov chainminimal Martin boundaryminimal positive eigenfunctions

Mathematics Subject Classification ID

Boundary theory for Markov processes (60J50) Boundary value and inverse problems for harmonic functions in two dimensions (31A25)

Related Items (9)

Infinite Schrödinger networks ⋮ Martin boundary of random walks in convex cones ⋮ Constructing discrete harmonic functions in wedges ⋮ Green functions for killed random walks in the Weyl chamber of \(\mathrm{Sp}(4)\) ⋮ KMS states, conformal measures and ends in digraphs ⋮ Random walks in the quarter plane, discrete harmonic functions and conformal mappings ⋮ The Poisson boundary of covering Markov operators ⋮ Random walks on groups and KMS states ⋮ t-Martin Boundary of Killed Random Walks in the Quadrant

Cites Work

• On the Martin boundary of Riemannian products
• Random walks on discrete groups: Boundary and entropy
• Martin boundaries for the direct product of Markov processes
• GEOMETRIC ERGODICITY IN DENUMERABLE MARKOV CHAINS
• On Martin Boundaries for the Direct Product of Markov Chains
• Eigenvalues of Non-Negative Matrices
• The Product of Minimal Functions is Minimal

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