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ON SINGULARITY OF ENERGY MEASURES ON SELF-SIMILAR SETS II

Published online by Cambridge University Press:  19 December 2006

MASANORI HINO  and
KENJI NAKAHARA
MASANORI HINO
Affiliation:
Graduate School of Informatics, Kyoto University, Kyoto 606-8501, Japanhino@i.kyoto-u.ac.jp
KENJI NAKAHARA
Affiliation:
Sumitomo Mitsui Banking Corporation, 3-2, Marunouchi 1-chome, Chiyoda-ku, Tokyo 100-0005, JapanNakahara_Kenji@dn.smbc.co.jp
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Abstract

We provide a criterion for the energy measures of regular Dirichlet forms on post-critically finite self-similar sets to be singular with respect to every self-similar measure. A probabilistic interpretation of the singularity is also discussed.

Keywords

60G30 (primary)28A8031C2560J60 (secondary)
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 38 , Issue 6 , December 2006 , pp. 1019 - 1032
Copyright
The London Mathematical Society 2006

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