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math.MG2019
A rigidity result for metric measure spaces with Euclidean heat kernel
Gilles Carron, David Tewodrose
We prove that a metric measure space equipped with a Dirichlet form admitting an Euclidean heat kernel is necessarily isometric to the Euclidean space. This helps us providing an a…
math.AP2019
Asymptotic Mean Value Laplacian in Metric Measure Spaces
Andreas Minne, David Tewodrose
We use the mean value property in an asymptotic way to provide a notion of a pointwise Laplacian, called AMV Laplacian, that we study in several contexts including the Heisenberg g…