Katarzyna Pietruska-Pałuba

activity

19982026

most citedIntegrated density of states for Poisson-Schrödinger perturbations of subordinate Brownian motions on the Sierpiński gasket

11 citations · 28 across the 16 of their papers we have counts for

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Showing 2019 · math.PRShow all

2 papers · 2 filters

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 $…