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math.PR2016★ 7 cited
Differential forms on Dirichlet spaces and Bakry-Émery estimates on metric graphs
Fabrice Baudoin, Daniel J. Kelleher
We develop a general framework on Dirichlet spaces to prove a weak form of the Bakry-Émery estimate and study its consequences. This estimate may be satisfied in situations, like m…
math.PR2015
Dual graphs and modified Barlow--Bass resistance estimates for repeated barycentric subdivisions
Daniel J. Kelleher, Antoni Brzoska, Hugo Panzo +1
We prove Barlow--Bass type resistance estimates for two random walks associated with repeated barycentric subdivisions of a triangle. If the random walk jumps between the centers o…