4 citations · 4 across the 5 of their papers we have counts for
5 papers
IDS for subordinate Brownian motions in Poisson random environment on nested fractals
Hubert Balsam, Kamil Kaleta, Mariusz Olszewski +1
We establish the Lifshitz singularity of the integrated density of states (IDS) for random Schrödinger operators \[ H^ω = ϕ(-\mathcal{L}) + V^ω \] on planar unbounded nested fracta…
Density of states for the Anderson model on nested fractals
Hubert Balsam, Kamil Kaleta, Mariusz Olszewski +1
We prove the existence and establish the Lifschitz singularity of the integrated density of states for certain random Hamiltonians on fractal spaces of infinite diame…
Good labeling property of simple nested fractals
Mikołaj Nieradko, Mariusz Olszewski
We show various criteria to verify if a given nested fractal has a good labeling property, inter alia we present a characterization of GLP for fractals with an odd number of essent…
Estimates of the transition densities for the reflected Brownian motion on simple nested fractals
Mariusz Olszewski
We give sharp two-sided estimates for the functions and , where are the transition probability densities of the reflected Brownian mo…
Reflected Brownian motion on simple nested fractals
Kamil Kaleta, Mariusz Olszewski, Katarzyna Pietruska-Pałuba
We prove the existence of the reflected diffusion on a complex of an arbitrary size for a large class of planar simple nested fractals. Such a process is obtained as a folding proj…