Sierpiński gasket as a Martin boundary. II: The intrinsic metric
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Publication:1567246
DOI10.2977/prims/1195143423zbMath0980.60095OpenAlexW2015569375MaRDI QIDQ1567246
Publication date: 4 March 2002
Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2977/prims/1195143423
Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Boundary theory for Markov processes (60J50)
Related Items (20)
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 ⋮ The intrinsic metric formula and a chaotic dynamical system on the code set of the Sierpinski tetrahedron ⋮ Post-critically finite fractal and Martin boundary ⋮ An explicit formula of the intrinsic metric on the Sierpinski gasket via code representation ⋮ On hyperbolic graphs induced by iterated function systems ⋮ The difference between letters and a Martin kernel of a modulo 5 Markov chain ⋮ Graphs induced by iterated function systems ⋮ GEODESICS OF THE SIERPINSKI GASKET ⋮ Gromov hyperbolic graphs arising from iterations ⋮ The formulization of the intrinsic metric on the added Sierpinski triangle by using the code representations ⋮ Martin Metrics on the Sierpiński Gasket ⋮ FURSTENBERG-TYPE FORMULAS OVER SHIFT SPACES ⋮ The Sierpiński gasket as the Martin boundary of a non-isotropic Markov chain ⋮ Intrinsic metrics on Sierpinski-like triangles and their geometric properties ⋮ Denker-Sato type Markov chains on self-similar sets
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