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

[BibTeX]

preprint

Inserted: 15 jul 2019
Last Updated: 15 jul 2019

Pages: 23
Year: 2019

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.