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math.PR2021
Ratio limits and Martin boundary
Wolfgang Woess
Consider an irreducible Markov chain which satisfies a ratio limit theorem, and let be the spectral radius of the chain. We investigate the relation of the the -Martin bou…
math.PR2021
Laplace and bi-Laplace equations for directed networks and Markov chains
Thomas Hirschler, Wolfgang Woess
The networks of this -- primarily (but not exclusively) expository -- compendium are strongly connected, finite directed graphs , where each oriented edge is equipped wi…