K. Kaleta

activity

20092026

most citedEstimates of transition densities and their derivatives for jump Lévy processes

68 citations · 248 across the 33 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.PR2019

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 $ℓ$ for random Schrödinger operators $Φ (- Δ) + V^{ω}$ in $L^{2} (R^{d})$ , $d \geq 1$ , where $Φ$ is a co…

math.PR2019

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 $(- Δ)^{α /2} + V^{ω}$ in $L^{2} (R^{d})$ for the full range of $…

math.PR2019

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 $H = - L + V$ ; the free operator $L$ is the generator of a symmetric…