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Variance continuity for Lorenz flows
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Bahsoun, Wael, Melbourne, Ian and Ruziboev, Marks (2020) Variance continuity for Lorenz flows. Annales Henri Poincare, 21 . pp. 1873-1892. doi:10.1007/s00023-020-00913-5
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Official URL: https://doi.org/10.1007/s00023-020-00913-5
Abstract
The classical Lorenz flow, and any flow which is close to it in the C1+α-topology, satisfies a Central Limit Theorem (CLT). We prove that the variance in the CLT varies continuously for this family of flows.
| Item Type: | Journal Article | |||||||||
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| Subjects: | Q Science > QA Mathematics | |||||||||
| Divisions: | Faculty of Science > Mathematics | |||||||||
| Library of Congress Subject Headings (LCSH): | Differential equations, Lorenz equations, Attractors (Mathematics), Central limit theorem | |||||||||
| Journal or Publication Title: | Annales Henri Poincare | |||||||||
| Publisher: | Springer Basel AG | |||||||||
| ISSN: | 1424-0637 | |||||||||
| Official Date: | June 2020 | |||||||||
| Dates: |
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| Date of first compliant deposit: | 20 April 2020 | |||||||||
| Volume: | 21 | |||||||||
| Page Range: | pp. 1873-1892 | |||||||||
| DOI: | 10.1007/s00023-020-00913-5 | |||||||||
| Status: | Peer Reviewed | |||||||||
| Publication Status: | Published | |||||||||
| Publisher Statement: | This is a post-peer-review, pre-copyedit version of an article published in Annales Henri Poincare. The final authenticated version is available online at: http://dx.doi.org/[insert DOI]”. | |||||||||
| Access rights to Published version: | Open Access | |||||||||
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