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Chouk, Khalil [Author]; van Zuijlen, Willem [Author]

Asymptotics of the eigenvalues of the Anderson Hamiltonian with white noise potential in two dimensions - [published Version]

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  • Media type: Text; Report; E-Book
  • Title: Asymptotics of the eigenvalues of the Anderson Hamiltonian with white noise potential in two dimensions
  • Contributor: Chouk, Khalil [Author]; van Zuijlen, Willem [Author]
  • Published: Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2019
  • Issue: published Version
  • Language: English
  • DOI: https://doi.org/10.34657/8228; https://doi.org/10.20347/WIAS.PREPRINT.2606
  • ISSN: 2198-5855
  • Keywords: paracontrolled distributions ; operators with Dirichlet boundary ; Anderson Hamiltonian ; white noise ; conditions
  • Origination:
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  • Description: In this paper we consider the Anderson Hamiltonian with white noise potential on the box [0,L]² with Dirichlet boundary conditions. We show that all the eigenvalues divided by log L converge as L → ∞ almost surely to the same deterministic constant, which is given by a variational formula.
  • Access State: Open Access