Document Type

Article

Publication Date

6-2005

Publication Title

The Asian Journal of Mathematics

DOI

10.4310/AJM.2005.v9.n2.a7

ISSN

1945-0036

Abstract

In this paper we study the absolute continuity of self-similar measures defined by iterated function systems (IFS) whose contraction ratios are not uniform. We introduce a transversality condition for a multi-parameter family of IFS and study the absolute continuity of the corresponding self-similar measures. Our study is a natural extension of the study of Bernoulli convolutions by Solomyak, Peres, et al.

Comments

© 2005 International Press of Boston. This is an open access article retrieved from the Asian Journal of Mathematics. Articles older than 5 years are open access.

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