activity
20192025
most citedLi-Yau and Harnack inequalities via curvature-dimension conditions for discrete long-range jump operators including the fractional discrete Laplacian

1 citations · 1 across the 6 of their papers we have counts for

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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…