Differential forms on Dirichlet spaces and Bakry-\'Emery estimates on metric graphs
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🧮 math.PR
math.DGmath.MG
keywords
bakry-dirichletemeryestimategraphsmetricspacesavailable
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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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