2 papers
math.AP2022
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…
math.PR2014
Lifschitz singularity for subordinate Brownian motions in presence of the Poissonian potential on the Sierpiński gasket
Kamil Kaleta, Katarzyna Pietruska-Pałuba
We establish the Lifschitz-type singularity around the bottom of the spectrum for the integrated density of states for a class of subordinate Brownian motions in presence of the no…