Some properties of energy measures on Sierpinski gasket type fractals

Some properties of energy measures on Sierpinski gasket type fractals

We confi rm, 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 t...

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Veröffentlicht in:Journal of fractal geometry 2016-09, Vol.3 (3), p.245-263
1. Verfasser: Hino, Masanori
Format: Artikel
Sprache:eng
Schlagworte:
Measure and integration
Potential theory
Probability theory and stochastic processes
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Zusammenfassung:We confi rm, 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.
ISSN:2308-1309
2308-1317
DOI:10.4171/JFG/36