3 papers
math.PR2026
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…
math.SP2023
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…
math.PR2021
Transition density estimates for subordinated reflected Brownian motion on simple nested fractals
Hubert Balsam
In this paper we prove matching upper and lower bounds for the transition density function of the subordinate reflected Brownian motion on fractals.