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math.MG2021
Conductive homogeneity of compact metric spaces and construction of p-energy
Jun Kigami
In the ordinary theory of Sobolev spaces on domains of , the -energy is defined as the integral of . In this paper, we try to construct -energy on compact…
math.MG2018★ 9 cited
Weighted partition of a compact metrizable space, its hyperbolicity and Ahlfors regular conformal dimension
Jun Kigami
Successive divisions of compact metric spaces appear in many different areas of mathematics such as the construction of self-similar sets, Markov partitions associated with hyperbo…