Typical points and families of expanding interval mappings
(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:
https://lup.lub.lu.se/record/99aa43bf-b6bd-42ad-bac5-fc495d50ab73
- author
- Persson, Tomas
LU
- organization
- publishing date
- 2017-07-01
- 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
-
- scopus:85018299833
- wos:000401072700020
- 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
- 2025-01-07 13:33:37
@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}}, }