Singularity of energy measures on a class of inhomogeneous Sierpinski gaskets

2021/06/12 by Hino, Masanori, Yasui, Madoka · 1 citation
#60G30 #60J60 #FOS: Mathematics #Primary: 28A80 #Probability (math.PR) #Secondary: 31C25

paper · doi:10.48550/arxiv.2106.06705

Abstract

We study energy measures of canonical Dirichlet forms on inhomogeneous Sierpinski gaskets. We prove that the energy measures and suitable reference measures are mutually singular under mild assumptions.

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