ABSOLUTE CONTINUITY OF BERNOULLI CONVOLUTIONS FOR ALGEBRAIC PARAMETERS
Accepted version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Varju, Peter P
Abstract
We prove that Bernoulli convolutions $ \mu _\lambda $ are absolutely continuous provided the parameter $ \lambda $ is an algebraic number sufficiently close to $ 1$ depending on the Mahler measure of $ \lambda $.
Description
Keywords
Bernoulli convolution, self-similar measure, absolute continuity, Mahler measure
Journal Title
JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY
Conference Name
Journal ISSN
0894-0347
1088-6834
1088-6834
Volume Title
32
Publisher
American Mathematical Society
Publisher DOI
Rights
All rights reserved
Sponsorship
Royal Society (UF140146)