24 citations · 80 across the 13 of their papers we have counts for
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math.AP2017
Probabilistic approach to quantum separation effect for Feynman-Kac semigroup
Adam Sikora, Jacek Zienkiewicz
Quantum tunnelling phenomenon allows a particle in Schrödinger mechanics tunnels through a barrier that it classically could not overcome. Even the infinite potentials do not alway…
math.FA2017
Weak type (1,1) estimates for inverses of discrete rough singular integral operators
Maciej Paluszynski, Jacek Zienkiewicz
We obtain weak type (1,1) estimates for the inverses of truncated discrete rough Hilbert transform. We include an ex- ample showing that our result is sharp. One of the ingredients…
math.AP2017
Large global-in-time solutions to a nonlocal model of chemotaxis
Piotr Biler, Grzegorz Karch, Jacek Zienkiewicz
We consider the parabolic-elliptic model for the chemotaxis with fractional (anomalous) diffusion. Global-in-time solutions are constructed under (nearly) optimal assumptions on th…