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2D random magnetic Laplacian with white noise magnetic field

Authors
  • Morin, Léo
  • Mouzard, Antoine
Publication Date
Jan 12, 2021
Source
HAL-INRIA
Keywords
Language
English
License
Unknown
External links

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.

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