68 citations · 248 across the 33 of their papers we have counts for
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Contractivity and ground state domination properties for non-local Schrödinger operators
Kamil Kaleta, Mateusz Kwaśnicki, József Lőrinczi
We study supercontractivity and hypercontractivity of Markov semigroups obtained via ground state transformation of non-local Schrödinger operators based on generators of symmetric…
Asymptotic estimate of eigenvalues of pseudo-differential operators in an interval
Kamil Kaleta, Mateusz Kwaśnicki, Jacek Małecki
We prove a two-term Weyl-type asymptotic law, with error term O(1/n), for the eigenvalues of the operator psi(-Delta) in an interval, with zero exterior condition, for complete Ber…
Transition in the decay rates of stationary distributions of Lévy motion in an energy landscape
Kamil Kaleta, József Lőrinczi
The time evolution of random variables with Lévy statistics has the ability to develop jumps, displaying very different behaviors from continuously fluctuating cases. Such patterns…
Fall-off of eigenfunctions for non-local Schrödinger operators with decaying potentials
Kamil Kaleta, József Lőrinczi
We study the spatial decay of eigenfunctions of non-local Schrödinger operators whose kinetic terms are generators of symmetric jump-paring Lévy processes with Kato-class potential…