Calculus of Variations and Geometric Measure Theory

B. Han - K. T. Sturm

Curvature-dimension conditions for diffusions under time change

created by han1 on 15 Jul 2019
modified on 29 Sep 2024

[BibTeX]

Published Paper

Inserted: 15 jul 2019
Last Updated: 29 sep 2024

Journal: Annali di Matematica Pura ed Applicata
Pages: 23
Year: 2022

ArXiv: 1907.05761 PDF

Abstract:

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-Emery 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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