Asymptotics of the eigenvalues of the Anderson Hamiltonian with white noise potential in two dimensions

DOI10.1214/20-AOP1497zbMath1468.35041arXiv1907.01352MaRDI QIDQ2039458

Khalil Chouk, Willem B. van Zuijlen

Publication date: 2 July 2021

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.01352

zbMATH Keywords

white noiseDirichlet conditionAnderson Hamiltonian

Mathematics Subject Classification ID

Strong limit theorems (60F15) Random operators and equations (aspects of stochastic analysis) (60H25) Large deviations (60F10) Second-order elliptic equations (35J15) Schrödinger operator, Schrödinger equation (35J10)

Related Items (8)

Boundary renormalisation of SPDEs ⋮ Longtime asymptotics of the two-dimensional parabolic Anderson model with white-noise potential ⋮ Weyl law for the Anderson Hamiltonian on a two-dimensional manifold ⋮ Asymptotic of the smallest eigenvalues of the continuous Anderson Hamiltonian in \(d\le 3\) ⋮ Anderson localization for the 1-d Schrödinger operator with white noise potential ⋮ The spatial \(\Lambda\)-Fleming-Viot process in a random environment ⋮ Paracontrolled calculus for quasilinear singular PDEs ⋮ 2D random magnetic Laplacian with white noise magnetic field

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