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Reflections on Harmonic Analysis of the Sierpiński Gasket

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Publication:4543829
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DOI<link itemprop=identifier href="https://doi.org/10.1002/1522-2616(200207)241:1<32::AID-MANA32>3.0.CO;2-5" /><32::AID-MANA32>3.0.CO;2-5 10.1002/1522-2616(200207)241:1<32::AID-MANA32>3.0.CO;2-5zbMath1020.60066OpenAlexW2092853270MaRDI QIDQ4543829

Manfred Denker, Hiroshi Sato

Publication date: 8 August 2002

Full work available at URL: https://doi.org/10.1002/1522-2616(200207)241:1<32::aid-mana32>3.0.co;2-5


zbMATH Keywords

treeMartin boundaryfractal


Mathematics Subject Classification ID

Fractals (28A80) Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Boundary theory for Markov processes (60J50)


Related Items (9)

Boundary theory on the Hata tree ⋮ 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 ⋮ Graphs induced by iterated function systems ⋮ FURSTENBERG-TYPE FORMULAS OVER SHIFT SPACES ⋮ The Sierpiński gasket as the Martin boundary of a non-isotropic Markov chain ⋮ Denker-Sato type Markov chains on self-similar sets




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