Sierpiński gasket as a Martin boundary. I: Martin kernels

DOI10.1023/A:1011232724842zbMath0980.60094OpenAlexW2913283270MaRDI QIDQ5937308

Manfred Denker, Hiroshi Sato

Publication date: 6 September 2001

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1011232724842

zbMATH Keywords

treeMartin boundaryMarkov chainSierpinski gasketMartin kernel

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Martin boundary theory (31C35) Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Boundary theory for Markov processes (60J50)

Related Items (18)

Boundary theory on the Hata tree ⋮ Denker–Sato type Markov chains and Harnack inequality ⋮ A note on measure-geometric Laplacians ⋮ A discrete Gauss-Green identity for unbounded Laplace operators, and the transience of random walks ⋮ Random walks and induced Dirichlet forms on self-similar sets ⋮ Martin boundary and exit space on the Sierpinski gasket ⋮ Post-critically finite fractal and Martin boundary ⋮ On hyperbolic graphs induced by iterated function systems ⋮ The difference between letters and a Martin kernel of a modulo 5 Markov chain ⋮ Harmonic calculus on fractals—A measure geometric approach II ⋮ Graphs induced by iterated function systems ⋮ Gromov hyperbolic graphs arising from iterations ⋮ Martin Metrics on the Sierpiński Gasket ⋮ Spectrality of Sierpinski-type self-affine measures ⋮ FURSTENBERG-TYPE FORMULAS OVER SHIFT SPACES ⋮ Sierpiński gasket as a Martin boundary. II: The intrinsic metric ⋮ The Sierpiński gasket as the Martin boundary of a non-isotropic Markov chain ⋮ Denker-Sato type Markov chains on self-similar sets

This page was built for publication: Sierpiński gasket as a Martin boundary. I: Martin kernels