Differential forms on Dirichlet spaces and Bakry-Émery estimates on metric graphs

Published 9 Apr 2016 in math.PR, math.DG, and math.MG | (1604.02520v4)

Abstract: We develop a general framework on Dirichlet spaces to prove a weak form of the Bakry-\'Emery estimate and study its consequences. This estimate may be satisfied in situations, like metric graphs, where generalized notions of Ricci curvature lower bounds are not available.

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