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A GENERAL RESULT ON ABSOLUTE CONTINUITY OF NON-UNIFORM SELF-SIMILAR MEASURES ON THE REAL LINE

JÖRG NEUNHÄUSERER

University of Applied Science Berlin, Luxemburger Strae 10, 13353 Berlin, Germany

Address for delivery of offprints: Dr. Jörg Neunhäuserer, Reitstallweg 9, 38640, Gosler, Germany.

https://doi.org/10.1142/S0218348X08004113Cited by:1 (Source: Crossref)

Abstract

We present a general result on absolute continuity of biased non-uniform self-similar measure on the real line, given by n different contraction and translation rates. The result holds generically in the sense of Lebesgue measure on a certain part of the parameter domain.

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