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Curvature-dimension conditions for diffusions under time change (1907.05761v1)
Published 12 Jul 2019 in math.FA, math.DG, and math.PR
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.