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Title: Some properties of energy measures on Sierpinski gasket type fractals
Authors: Hino, Masanori  kyouindb  KAKEN_id
Author's alias: 日野, 正訓
Keywords: Energy measure
Dirichlet form
Sierpinski gasket
self-similar set
Issue Date: 14-Sep-2016
Publisher: European Mathematical Publishing House
Journal title: Journal of Fractal Geometry
Volume: 3
Issue: 3
Start page: 245
End page: 263
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 Sierpi'nski 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.
Rights: This is the accepted version of the article, which has been published in final form at http://doi.org/10.4171/JFG/36. The full-text file will be made open to the public on 14 September 2016 in accordance with publisher's 'Terms and Conditions for Self-Archiving'. This is not the published version. Please cite only the published version. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。
URI: http://hdl.handle.net/2433/231411
DOI(Published Version): 10.4171/JFG/36
Appears in Collections:Journal Articles

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