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- W3149789110 abstract "We define a new Markov chain on the symbolic space representing the Sierpinski gasket (SG),and show that the corresponding Martin boundary is homeomorphic to the SG while the minimal Martin boundary is the three vertices of the SG.In addition,the harmonic structure induced by the Markov chain coincides with the canonical one on the SG.This suggests another approach to consider the existence of Laplacians on those self-similar sets for which the problem is still not settled." @default.
- W3149789110 created "2021-04-13" @default.
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- W3149789110 date "2012-01-01" @default.
- W3149789110 modified "2023-09-23" @default.
- W3149789110 title "Martin boundary and exit space on the Sierpinski gasket" @default.
- W3149789110 hasPublicationYear "2012" @default.
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