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math.CA2022★ 2 cited
Hausdorff and box dimension of self-affine set in non-Archimedean field
Yang Deng, Bing Li, Hua Qiu
In this paper we consider affine iterated function systems in locally compact non-Archimedean field . We establish the theory of singular value composition in $\mathbb{…
math.DS2022
Self-similar Dirichlet forms on polygon carpets
Shiping Cao, Hua Qiu, Yizhou Wang
We construct symmetric self-similar diffusions with sub-Gaussian heat kernel estimates on two types of polygon carpets, which are natural generalizations of planner Sierpinski carp…