Lifshitz tail for continuous Anderson models driven by Lévy operators

DOI10.1142/S0219199720500650zbMath1469.82017arXiv1910.01153OpenAlexW3093651746MaRDI QIDQ5002186

Kamil Kaleta, Katarzyna Pietruska-Pałuba

Publication date: 27 July 2021

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.01153

zbMATH Keywords

Lévy processesintegrated density of statesTauberian theoremLifshitz tailBernstein functionsalloy-type potentialnonlocal Anderson problemrandom local and nonlocal Schrödinger operator

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Processes in random environments (60K37) Schrödinger and Feynman-Kac semigroups (47D08) Pseudodifferential operators (47G30)

Related Items (3)

Lifschitz tail for alloy-type models driven by the fractional Laplacian ⋮ Density of states for the Anderson model on nested fractals ⋮ Lifshitz tails for random diagonal perturbations of Laurent matrices

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