QUENCHED LIMIT THEOREMS FOR RANDOM U(1) EXTENSIONS OF EXPANDING MAPS
(2023) In Discrete and Continuous Dynamical Systems- Series A 43(1). p.338-377- Abstract
In this paper we provide quenched central limit theorems, large deviation principles and local central limit theorems for random U(1) extensions of expanding maps on the torus. The results are obtained as special cases of corresponding theorems that we establish for abstract random dynamical systems. We do so by extending a recent spectral approach developed for quenched limit theorems for expanding and hyperbolic maps to be applicable also to partially hyperbolic dynamics.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/d7f4578e-0c0c-4bf1-8b13-ae2ad1815924
- author
- Chung, Yong Moo ; Nakano, Yushi LU and Wittsten, Jens LU
- organization
- publishing date
- 2023
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Central limit theorem, Lyapunov spectrum, partially hyperbolic map, random dynamical system, transfer operator
- in
- Discrete and Continuous Dynamical Systems- Series A
- volume
- 43
- issue
- 1
- pages
- 40 pages
- publisher
- American Institute of Mathematical Sciences
- external identifiers
-
- scopus:85143638986
- ISSN
- 1078-0947
- DOI
- 10.3934/dcds.2022151
- language
- English
- LU publication?
- yes
- id
- d7f4578e-0c0c-4bf1-8b13-ae2ad1815924
- date added to LUP
- 2023-02-07 15:08:28
- date last changed
- 2023-02-07 15:08:28
@article{d7f4578e-0c0c-4bf1-8b13-ae2ad1815924, abstract = {{<p>In this paper we provide quenched central limit theorems, large deviation principles and local central limit theorems for random U(1) extensions of expanding maps on the torus. The results are obtained as special cases of corresponding theorems that we establish for abstract random dynamical systems. We do so by extending a recent spectral approach developed for quenched limit theorems for expanding and hyperbolic maps to be applicable also to partially hyperbolic dynamics.</p>}}, author = {{Chung, Yong Moo and Nakano, Yushi and Wittsten, Jens}}, issn = {{1078-0947}}, keywords = {{Central limit theorem; Lyapunov spectrum; partially hyperbolic map; random dynamical system; transfer operator}}, language = {{eng}}, number = {{1}}, pages = {{338--377}}, publisher = {{American Institute of Mathematical Sciences}}, series = {{Discrete and Continuous Dynamical Systems- Series A}}, title = {{QUENCHED LIMIT THEOREMS FOR RANDOM U(1) EXTENSIONS OF EXPANDING MAPS}}, url = {{http://dx.doi.org/10.3934/dcds.2022151}}, doi = {{10.3934/dcds.2022151}}, volume = {{43}}, year = {{2023}}, }