On Singularity of Energy Measures on Self-Similar Sets II |
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| Authors: | Hino Masanori; Nakahara Kenji |
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| Institution: | Graduate School of Informatics, Kyoto University Kyoto 606-8501, Japan e-mail: hino{at}i.kyoto-u.ac.jp
Sumitomo Mitsui Banking Corporation 3-2, Marunouchi 1-chome, Chiyoda-ku, Tokyo 100-0005, Japan e-mail: Nakahara_Kenji{at}dn.smbc.co.jp |
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| Abstract: | We provide a criterion for the energy measures of regular Dirichletforms on post-critically finite self-similar sets to be singularwith respect to every self-similar measure. A probabilisticinterpretation of the singularity is also discussed. 2000 MathematicsSubject Classification 60G30 (primary), 28A80, 31C25, 60J60(secondary). |
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