9 citations · 11 across the 5 of their papers we have counts for
5 papers
Standard resistance form on the infinite Sierpinski gasket and its trace onto the half-line
Jun Kigami
We construct a compatible sequence of resistance forms on the graphs approximating the infinite Sierpinski gasket and show that the resistance form given by the limit of the compat…
Heat kernel lower bound estimates for symmetric pure jump processes via averaged jump kernels
Zhen-Qing Chen, Jun Kigami
We derive a heat kernel lower bound estimate for symmetric pure jump processes on general volume doubling metric measure spaces with possible degenerate and/or singular jump kernel…
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…
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…
Completely Symmetric Resistance Forms on the Stretched Sierpinski Gasket
Patricia Alonso Ruiz, Uta Freiberg, Jun Kigami
The stretched Sierpinski gasket, SSG for short, is the space obtained by replacing every branching point of the Sierpinski gasket by an interval. It has also been called "deformed…