Curvature-dimension conditions under time change

We derive precise transformation formulas for synthetic lower Ricci bounds under time change. More precisely, for local Dirichlet forms we study how the curvature-dimension condition in the sense of Bakry–Émery will transform under time change. Similarly, for metric measure spaces we study how the c...

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Detalles Bibliográficos
Autores principales: Han, Bang-Xian, Sturm, Karl-Theodor
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8881281/
https://www.ncbi.nlm.nih.gov/pubmed/35250155
http://dx.doi.org/10.1007/s10231-021-01138-x
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author Han, Bang-Xian
Sturm, Karl-Theodor
author_facet Han, Bang-Xian
Sturm, Karl-Theodor
author_sort Han, Bang-Xian
collection PubMed
description We derive precise transformation formulas for synthetic lower Ricci bounds under time change. More precisely, for local Dirichlet forms we study how the curvature-dimension condition in the sense of Bakry–Émery will transform under time change. Similarly, for metric measure spaces we study how the curvature-dimension condition in the sense of Lott–Sturm–Villani will transform under time change.
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spelling pubmed-88812812022-03-02 Curvature-dimension conditions under time change Han, Bang-Xian Sturm, Karl-Theodor Ann Mat Pura Appl Article We derive precise transformation formulas for synthetic lower Ricci bounds under time change. More precisely, for local Dirichlet forms we study how the curvature-dimension condition in the sense of Bakry–Émery will transform under time change. Similarly, for metric measure spaces we study how the curvature-dimension condition in the sense of Lott–Sturm–Villani will transform under time change. Springer Berlin Heidelberg 2021-08-04 2022 /pmc/articles/PMC8881281/ /pubmed/35250155 http://dx.doi.org/10.1007/s10231-021-01138-x Text en © The Author(s) 2021 https://creativecommons.org/licenses/by/4.0/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/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Han, Bang-Xian
Sturm, Karl-Theodor
Curvature-dimension conditions under time change
title Curvature-dimension conditions under time change
title_full Curvature-dimension conditions under time change
title_fullStr Curvature-dimension conditions under time change
title_full_unstemmed Curvature-dimension conditions under time change
title_short Curvature-dimension conditions under time change
title_sort curvature-dimension conditions under time change
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8881281/
https://www.ncbi.nlm.nih.gov/pubmed/35250155
http://dx.doi.org/10.1007/s10231-021-01138-x
work_keys_str_mv AT hanbangxian curvaturedimensionconditionsundertimechange
AT sturmkarltheodor curvaturedimensionconditionsundertimechange

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