Geodesic
Ratio limits and Martin boundary
Documenta mathematica, Tome 26 (2021), pp. 1501-1528 Cet article a éte moissonné depuis la source EMS Press

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Consider an irreducible Markov chain which satisfies a ratio limit theorem, and let ρ be the spectral radius of the chain. We investigate the relation of the the ρ-Martin boundary with the boundary induced by the ρ-harmonic kernel which appears in the ratio limit. Special emphasis is on random walks on non-amenable groups, specifically, free groups and hyperbolic groups.
DOI : 10.4171/dm/847
Classification : 60G50, 60J10, 60J50
Mots-clés : random walk, ratio limit, ρ-harmonic functions, Martin boundary 
@article{10_4171_dm_847,
     author = {Wolfgang Woess},
     title = {Ratio limits and {Martin} boundary},
     journal = {Documenta mathematica},
     pages = {1501--1528},
     year = {2021},
     volume = {26},
     doi = {10.4171/dm/847},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/847/}
}
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%J Documenta mathematica
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Wolfgang Woess. Ratio limits and Martin boundary. Documenta mathematica, Tome 26 (2021), pp. 1501-1528. doi: 10.4171/dm/847

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