68 citations · 248 across the 33 of their papers we have counts for
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Heat kernels, intrinsic contractivity and ergodicity of discrete-time Markov chains killed by potentials
Wojciech Cygan, Kamil Kaleta, René L. Schilling +1
We study discrete-time Markov chains on countably infinite state spaces, which are perturbed by rather general confining (i.e.\ growing at infinity) potentials. Using a discrete-ti…
Decay of resolvent kernels and Schrödinger eigenstates for Lévy operators
Kamil Kaleta, René L. Schilling, Paweł Sztonyk
We study the spatial decay behaviour of resolvent kernels for a large class of non-local Lévy operators and bound states of the corresponding Schrödinger operators. Our findings na…
Heat kernels and Green functions for fractional Schrödinger operators with confining potentials
Xin Chen, Kamil Kaleta, Jian Wang
We give two-sided, global (in all variables) estimates of the heat kernel and the Green function of the fractional Schrödinger operator with a non-negative and locally bounded pote…