2D random magnetic Laplacian with white noise magnetic field
Mathematical Physics
2021-07-09 v2 math.MP
Probability
Spectral Theory
Abstract
We define the random magnetic Laplacien with spatial white noise as magnetic field on the two-dimensional torus using paracontrolled calculus. It yields a random self-adjoint operator with pure point spectrum and domain a random subspace of nonsmooth functions in L 2. We give sharp bounds on the eigenvalues which imply an almost sure Weyl-type law.
Keywords
Cite
@article{arxiv.2101.05020,
title = {2D random magnetic Laplacian with white noise magnetic field},
author = {Léo Morin and Antoine Mouzard},
journal= {arXiv preprint arXiv:2101.05020},
year = {2021}
}