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On random Bernoulli convolutions

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Author

Summary, in English

We study the distribution of the random series [image omitted], where k are independently and uniformly distributed in ( - epsilon, + epsilon). It is proved that the distribution of the series has density in L2 and that the L2 norm of the density does not grow faster than [image omitted], when epsilon vanishes.

Department/s

Publishing year

2010

Language

English

Pages

203-213

Publication/Series

Dynamical Systems

Volume

25

Issue

2

Document type

Journal article

Publisher

Taylor & Francis

Topic

  • Mathematics

Keywords

  • absolutely continuous invariant measures
  • piecewise hyperbolic maps
  • Bernoulli convolutions
  • random dynamical systems

Status

Published

Research group

  • Analysis and Dynamics
  • Dynamical systems

ISBN/ISSN/Other

  • ISSN: 1468-9367