Result: Quenched limit theorems for random U(1) extensions of expanding maps
Title:
Quenched limit theorems for random U(1) extensions of expanding maps
Authors:
Source:
Discrete and Continuous Dynamical Systems. 43:338-377
Publication Status:
Preprint
Publisher Information:
American Institute of Mathematical Sciences (AIMS), 2023.
Publication Year:
2023
Subject Terms:
Functional analytic techniques in dynamical systems, zeta functions, (Ruelle-Frobenius) transfer operators, etc, random dynamical system, Probability (math.PR), central limit theorem, transfer operator, Central limit and other weak theorems, Dynamical Systems (math.DS), Lyapunov spectrum, 01 natural sciences, Random iteration, partially hyperbolic map, FOS: Mathematics, Mathematics - Dynamical Systems, 0101 mathematics, Partially hyperbolic systems and dominated splittings, Mathematics - Probability
Document Type:
Academic journal
Article
File Description:
application/xml
ISSN:
1553-5231
1078-0947
1078-0947
DOI:
10.3934/dcds.2022151
DOI:
10.48550/arxiv.2104.01606
Access URL:
Rights:
CC BY
Accession Number:
edsair.doi.dedup.....901b4ba51d2725f684acc37d21e09279
Database:
OpenAIRE
Further Information
The Lyapunov spectra of random U(1) extensions of expanding maps on the torus were investigated in our previous work [NW2015]. Using the result, we extend the recent spectral approach for quenched limit theorems for expanding maps [DFGV2018] and hyperbolic maps [DFGV2019] to our partially hyperbolic dynamics. Quenched central limit theorems, large deviations principles and local central limit theorems for random U(1) extensions of expanding maps on the torus are proved via corresponding theorems for abstract random dynamical systems.
41 pages. Accepted for publication in DCDS-A