Some properties of energy measures on Sierpinski gasket type fractals (Q329454)
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scientific article; zbMATH DE number 6642230
| Language | Label | Description | Also known as |
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| English | Some properties of energy measures on Sierpinski gasket type fractals |
scientific article; zbMATH DE number 6642230 |
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Some properties of energy measures on Sierpinski gasket type fractals (English)
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21 October 2016
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The author proves a part of conjectures posed by \textit{R. Bell} et al. [Indiana Univ. Math. J. 63, No. 3, 831--868 (2014; Zbl 1387.28009)] on the limiting behavior of certain non-negative coefficients describing the distribution of energy measures of harmonic functions. The proof also indicates that the conjectured properties depend strongly on the fractals having three vertices.
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energy measure
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Dirichlet form
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Sierpiński gasket
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self-similar set
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