75 citations · 258 across the 15 of their papers we have counts for
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math.PR2016★ 23 cited
Potential kernels, probabilities of hitting a ball, harmonic functions and the boundary Harnack inequality for unimodal Lévy processes
Tomasz Grzywny, Mateusz Kwaśnicki
In the first part of this article, we prove two-sided estimates of hitting probabilities of balls, the potential kernel and the Green function for a ball for general isotropic unim…
math.SP2016
Pólya's conjecture fails for the fractional Laplacian
Mateusz Kwaśnicki, Richard S. Laugesen, Bartłomiej A. Siudeja
The analogue of Pólya's conjecture is shown to fail for the fractional Laplacian (-Delta)^{alpha/2} on an interval in 1-dimension, whenever 0 < alpha < 2. The failure is total: eve…