3 papers
math.PR2026
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…
math.PR2026
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…
math.MG2018
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…