Shi-Lei Kong

activity

20162020

most citedRandom walks and induced Dirichlet forms on self-similar sets

18 citations · 29 across the 4 of their papers we have counts for

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2 papers · 1 filter

math.FA2016★ 11 cited

Critical exponents of induced Dirichlet forms on self-similar sets

Shi-Lei Kong, Ka-Sing Lau

In a previous paper [arXiv:1604.05440], we studied certain random walks on the hyperbolic graphs $X$ associated with the self-similar sets $K$ , and showed that the discrete energy…

math.PR2016★ 18 cited

Random walks and induced Dirichlet forms on self-similar sets

Shi-Lei Kong, Ka-Sing Lau, Ting-Kam Leonard Wong

Let $K$ be a self-similar set satisfying the open set condition. Following Kaimanovich's elegant idea, it has been proved that on the symbolic space $X$ of $K$ a natural augmented…