Some properties of energy measures on Sierpinski gasket type fractals
arXiv:1510.00475 · doi:10.4171/JFG/36
Abstract
We confirm, in a more general framework, a part of the conjecture posed by R. Bell, C.-W. Ho, and R. S. Strichartz [Energy measures of harmonic functions on the Sierpiński gasket, Indiana Univ. Math. J. 63 (2014), 831--868] on the distribution of energy measures for the canonical Dirichlet form on the two-dimensional standard Sierpinski gasket.
17pages, 2figures