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math.AP2019
The Fractional Laplacian has Infinite Dimension
Adrian Spener, Frederic Weber, Rico Zacher
We show that the fractional Laplacian on fails to satisfy the Bakry-Émery curvature-dimension inequality for all curvature bounds and all…
math.AP2019
Curvature-dimension inequalities for non-local operators in the discrete setting
Adrian Spener, Frederic Weber, Rico Zacher
We study Bakry-Émery curvature-dimension inequalities for non-local operators on the one-dimensional lattice and prove that operators with finite second moment have finite dimensio…