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Typical points and families of expanding interval mappings

Persson, Tomas LU orcid (2017) In Discrete and Continuous Dynamical Systems. Series A 37(7). p.4019-4034
Abstract

We study parametrised families of piecewise expanding interval mappings Ta : [0,1] → [0,1] with absolutely continuous invariant measures μa and give sufficient conditions for a point X(a) to be typical with respect to (Ta; μa) for almost all parameters a. This is similar to a result by D. Schnellmann, but with different assumptions.

Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Families of mappings β-transformations, Invariant measures, Piecewise expanding interval mappings, Typical points
in
Discrete and Continuous Dynamical Systems. Series A
volume
37
issue
7
pages
16 pages
publisher
American Institute of Mathematical Sciences
external identifiers
  • wos:000401072700020
  • scopus:85018299833
ISSN
1078-0947
DOI
10.3934/dcds.2017170
language
English
LU publication?
yes
additional info
https://arxiv.org/abs/1505.07211
id
99aa43bf-b6bd-42ad-bac5-fc495d50ab73
alternative location
http://arxiv.org/pdf/1505.07211
date added to LUP
2017-05-17 09:37:32
date last changed
2025-10-14 12:58:06
@article{99aa43bf-b6bd-42ad-bac5-fc495d50ab73,
  abstract     = {{<p>We study parametrised families of piecewise expanding interval mappings T<sub>a</sub> : [0,1] → [0,1] with absolutely continuous invariant measures μ<sub>a</sub> and give sufficient conditions for a point X(a) to be typical with respect to (T<sub>a</sub>; μ<sub>a</sub>) for almost all parameters a. This is similar to a result by D. Schnellmann, but with different assumptions.</p>}},
  author       = {{Persson, Tomas}},
  issn         = {{1078-0947}},
  keywords     = {{Families of mappings β-transformations; Invariant measures; Piecewise expanding interval mappings; Typical points}},
  language     = {{eng}},
  month        = {{07}},
  number       = {{7}},
  pages        = {{4019--4034}},
  publisher    = {{American Institute of Mathematical Sciences}},
  series       = {{Discrete and Continuous Dynamical Systems. Series A}},
  title        = {{Typical points and families of expanding interval mappings}},
  url          = {{http://dx.doi.org/10.3934/dcds.2017170}},
  doi          = {{10.3934/dcds.2017170}},
  volume       = {{37}},
  year         = {{2017}},
}