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math.FA2018
Dirichlet forms on self-similar sets with overlaps
Shiping Cao, Hua Qiu
We study Dirichlet forms and Laplacians on self-similar sets with overlaps. A notion of "finitely ramified of finite type() nested structure" for self-similar sets is int…
math.FA2018★ 1 cited
Metrics on the Sierpinski carpet by weight functions
Qingsong Gu, Hua Qiu, Huo-Jun Ruan
We construct certain metrics on the Sierpinski carpet via a class of self-similar weight functions. Using these metrics and by applying known results, we obtain the two-sided sub-G…