Variance Continuity for Lorenz Flows

The classical Lorenz flow, and any flow which is close to it in the [Formula: see text] -topology, satisfies a Central Limit Theorem (CLT). We prove that the variance in the CLT varies continuously.

Detalles Bibliográficos
Autores principales: Bahsoun, Wael, Melbourne, Ian, Ruziboev, Marks
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7319333/
https://www.ncbi.nlm.nih.gov/pubmed/32624680
http://dx.doi.org/10.1007/s00023-020-00913-5
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author Bahsoun, Wael
Melbourne, Ian
Ruziboev, Marks
author_facet Bahsoun, Wael
Melbourne, Ian
Ruziboev, Marks
author_sort Bahsoun, Wael
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description The classical Lorenz flow, and any flow which is close to it in the [Formula: see text] -topology, satisfies a Central Limit Theorem (CLT). We prove that the variance in the CLT varies continuously.
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spelling pubmed-73193332020-07-01 Variance Continuity for Lorenz Flows Bahsoun, Wael Melbourne, Ian Ruziboev, Marks Ann Henri Poincare Article The classical Lorenz flow, and any flow which is close to it in the [Formula: see text] -topology, satisfies a Central Limit Theorem (CLT). We prove that the variance in the CLT varies continuously. Springer International Publishing 2020-05-02 2020 /pmc/articles/PMC7319333/ /pubmed/32624680 http://dx.doi.org/10.1007/s00023-020-00913-5 Text en © The Author(s) 2020 Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Article
Bahsoun, Wael
Melbourne, Ian
Ruziboev, Marks
Variance Continuity for Lorenz Flows
title Variance Continuity for Lorenz Flows
title_full Variance Continuity for Lorenz Flows
title_fullStr Variance Continuity for Lorenz Flows
title_full_unstemmed Variance Continuity for Lorenz Flows
title_short Variance Continuity for Lorenz Flows
title_sort variance continuity for lorenz flows
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7319333/
https://www.ncbi.nlm.nih.gov/pubmed/32624680
http://dx.doi.org/10.1007/s00023-020-00913-5
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