The browser you are using is not supported by this website. All versions of Internet Explorer are no longer supported, either by us or Microsoft (read more here: https://www.microsoft.com/en-us/microsoft-365/windows/end-of-ie-support).

Please use a modern browser to fully experience our website, such as the newest versions of Edge, Chrome, Firefox or Safari etc.

Bernoulli convolutions and 1D dynamics

På svenska

Author

Summary, in English

We describe a family phi(lambda) of dynamical systems on the unit interval which preserve Bernoulli convolutions. We show that if there are parameter ranges for which these systems are piecewise convex, then the corresponding Bernoulli convolution will be absolutely continuous with bounded density. We study the systems phi(lambda) and give some numerical evidence to suggest values of lambda for which phi(lambda) may be piecewise convex.

Department/s

Publishing year

2015

Language

English

Pages

3921-3934

Publication/Series

Nonlinearity

Volume

28

Issue

11

Document type

Journal article

Publisher

London Mathematical Society / IOP Science

Topic

  • Mathematics

Keywords

  • bernoulli convolutions
  • tent maps
  • absolutely continuous invariant
  • measures

Status

Published

Research group

  • Dynamical systems

ISBN/ISSN/Other

  • ISSN: 0951-7715