On random Bernoulli convolutions
Persson, Tomas LU
(2010)
In Dynamical Systems
25(2).
p.203-213
- Abstract
- 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1617929
- author
- Persson, Tomas
LU
- organization
- publishing date
- 2010
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- absolutely continuous invariant measures, piecewise hyperbolic maps, Bernoulli convolutions, random dynamical systems
- in
- Dynamical Systems
- volume
- 25
- issue
- 2
- pages
- 203 - 213
- publisher
- Taylor & Francis
- external identifiers
-
- wos:000277742000004
- scopus:77952325043
- ISSN
- 1468-9367
- DOI
- 10.1080/14689360903418801
- language
- English
- LU publication?
- yes
- id
- 23233a40-df38-424e-99fe-4e10f4451f3a (old id 1617929)
- alternative location
- http://www.maths.lth.se/matematiklth/personal/tomasp/pub/2008_7.pdf
- date added to LUP
- 2016-04-01 10:10:16
- date last changed
- 2022-01-25 20:31:16
@article{23233a40-df38-424e-99fe-4e10f4451f3a,
abstract = {{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.}},
author = {{Persson, Tomas}},
issn = {{1468-9367}},
keywords = {{absolutely continuous invariant measures; piecewise hyperbolic maps; Bernoulli convolutions; random dynamical systems}},
language = {{eng}},
number = {{2}},
pages = {{203--213}},
publisher = {{Taylor & Francis}},
series = {{Dynamical Systems}},
title = {{On random Bernoulli convolutions}},
url = {{http://dx.doi.org/10.1080/14689360903418801}},
doi = {{10.1080/14689360903418801}},
volume = {{25}},
year = {{2010}},
}