On singularity of energy measures on self-similar sets |
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| Authors: | Email author" target="_blank">Masanori?HinoEmail author |
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| Institution: | (1) Department of Applied Analysis and Complex Dynamical Systems, Graduate School of Informatics, Kyoto University, Kyoto 606-8501, Japan |
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| Abstract: | We provide general criteria for energy measures of regular Dirichlet forms on self-similar sets to be singular to Bernoulli type measures. In particular, every energy measure is proved to be singular to the Hausdorff measure for canonical Dirichlet forms on 2-dimensional Sierpinski carpets.Partially supported by Ministry of Education, Culture, Sports, Science and Technology, Grant-in-Aid for Encouragement of Young Scientists, 15740089.Mathematics Subject Classification (2000): 28A80 (60G30, 31C25, 60J60) |
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| Keywords: | Self-similar sets Fractals Energy measures Walk dimension Sierpinski carpets |
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