The Library
Rate of convergence in the weak invariance principle for deterministic systems
Tools
Antoniou, Marios and Melbourne, Ian (2019) Rate of convergence in the weak invariance principle for deterministic systems. Communications in Mathematical Physics, 369 . pp. 1147-1165. doi:10.1007/s00220-019-03334-6 ISSN 0010-3616.
|
PDF
WRAP-rate-convergence-weak-invariance-principle-deterministic-systems-Antoniou-2018.pdf - Accepted Version - Requires a PDF viewer. Download (585Kb) | Preview |
Official URL: https://doi.org/10.1007/s00220-019-03334-6
Abstract
We obtain the first results on convergence rates in the Prokhorov metric for the weak invariance principle (functional central limit theorem) for deterministic dynamical systems. Our results hold for uniformly expanding/hyperbolic (Axiom A) systems, as well as nonuniformly expanding/hyperbolic systems such as dispersing billiards, H´enon-like attractors, Viana maps and intermittent maps. As an application, we obtain convergence rates for deterministic homogenization in multiscale systems.
Item Type: | Journal Article | ||||||
---|---|---|---|---|---|---|---|
Subjects: | Q Science > QA Mathematics | ||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
Library of Congress Subject Headings (LCSH): | Symmetry (Physics), Central limit theorem | ||||||
Journal or Publication Title: | Communications in Mathematical Physics | ||||||
Publisher: | Springer | ||||||
ISSN: | 0010-3616 | ||||||
Official Date: | 29 January 2019 | ||||||
Dates: |
|
||||||
Volume: | 369 | ||||||
Page Range: | pp. 1147-1165 | ||||||
DOI: | 10.1007/s00220-019-03334-6 | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Re-use Statement: | This is a post-peer-review, pre-copyedit version of an article published in Communications in Mathematical Physics. The final authenticated version is available online at: http://dx.doi.org/10.1007/s00220-019-03334-6 | ||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||
Date of first compliant deposit: | 16 October 2018 | ||||||
Date of first compliant Open Access: | 29 January 2020 | ||||||
RIOXX Funder/Project Grant: |
|
||||||
Related URLs: |
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |
Downloads
Downloads per month over past year