On random Bernoulli convolutions

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.

• Författare: Tomas Persson
• Avdelning/ar: Matematik LTH; Dynamical systems
• Publiceringsår: 2010
• Språk: Engelska
• Sidor: 203-213
• Publikation/Tidskrift/Serie: Dynamical Systems
• Volym: 25
• Issue: 2
• Länkar: http://www.maths.lth.se/matematiklth/personal/tomasp/pub/2008_7.pdf; http://dx.doi.org/10.1080/14689360903418801
• Dokumenttyp: Artikel i tidskrift
• Förlag: Taylor & Francis
• Ämne: Mathematics
• Nyckelord: absolutely continuous invariant measures; piecewise hyperbolic maps; Bernoulli convolutions; random dynamical systems
• Status: Published
• Forskningsgrupp: Analysis and Dynamics; Dynamical systems
• ISBN/ISSN/Övrigt: ISSN: 1468-9367