ON SINGULARITY OF ENERGY MEASURES ON SELF-SIMILAR SETS II

MASANORI HINO; KENJI NAKAHARA

doi:10.1112/S0024609306019072

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.

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ON SINGULARITY OF ENERGY MEASURES ON SELF-SIMILAR SETS II

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