1 citations · 1 across the 6 of their papers we have counts for
9 papers
Heat kernels of non-local Schrödinger operators with Kato potentials
Tomasz Grzywny, Kamil Kaleta, Paweł Sztonyk
We study heat kernels of Schrödinger operators whose kinetic terms are non-local operators built for sufficiently regular symmetric Lévy measures with radial decreasing profiles an…
Decay of harmonic functions for discrete time Feynman--Kac operators with confining potentials
Wojciech Cygan, Kamil Kaleta, Mateusz Śliwiński
We propose and study a certain discrete time counterpart of the classical Feynman--Kac semigroup with a confining potential in countable infinite spaces. For a class of long range…
Lifshitz tail for continuous Anderson models driven by Lévy operators
Kamil Kaleta, Katarzyna Pietruska-Pałuba
We investigate the behavior near zero of the integrated density of states for random Schrödinger operators in , , where is a co…
Lifschitz tail for alloy-type models driven by the fractional Laplacian
Kamil Kaleta, Katarzyna Pietruska-Pałuba
We establish precise asymptotics near zero of the integrated density of states for the random Schrödinger operators in for the full range of $…
Progressive intrinsic ultracontractivity and heat kernel estimates for non-local Schrödinger operators
Kamil Kaleta, René L. Schilling
We study the long-time asymptotic behaviour of semigroups generated by non-local Schrödinger operators of the form ; the free operator is the generator of a symmetric…
Typical long time behaviour of ground state-transformed jump processes
Kamil Kaleta, József Lőrinczi
We consider a class of Lévy-type processes derived via a Doob-transform from Lévy processes conditioned by a control function called potential. These processes have position-depend…