Weyl law for the Anderson Hamiltonian on a two-dimensional manifold

DOI10.1214/21-AIHP1216zbMath1497.35119WikidataQ114060496 ScholiaQ114060496MaRDI QIDQ2157441

Mouzard Antoine

Publication date: 22 July 2022

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

zbMATH Keywords

Schrödinger operatorwhite noiseparacontrolled calculusAnderson Hamiltonian

Mathematics Subject Classification ID

Random operators and equations (aspects of stochastic analysis) (60H25) Elliptic equations on manifolds, general theory (58J05) Schrödinger operator, Schrödinger equation (35J10)

Related Items (3)

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 ⋮ Deterministic dynamics and randomness in PDE. Abstracts from the workshop held May 22--28, 2022

Cites Work

• Unnamed Item
• Unnamed Item
• Heat semigroup and singular PDEs. With an appendix by F. Bernicot and D. Frey
• The parabolic Anderson model. Random walk in random potential
• A theory of regularity structures
• Functional calculi of second-order elliptic partial differential operators with bounded measurable coefficients
• The Schrödinger equation with spatial white noise potential
• Asymptotics of the eigenvalues of the Anderson Hamiltonian with white noise potential in two dimensions
• Paracontrolled calculus and regularity structures I.
• Paracontrolled calculus and regularity structures. II
• A Littlewood-Paley description of modelled distributions
• Localization of the continuous Anderson Hamiltonian in 1-d
• Paracontrolled distributions on Bravais lattices and weak universality of the 2d parabolic Anderson model
• Semilinear evolution equations for the Anderson Hamiltonian in two and three dimensions
• The continuous Anderson Hamiltonian in \(d \leq 3\)
• The reconstruction theorem in Besov spaces
• Error-bounds for finite element method
• PARACONTROLLED DISTRIBUTIONS AND SINGULAR PDES
• Nonlinear Schrödinger evolution equations
• [https://portal.mardi4nfdi.de/wiki/Publication:4134658 On spectra of the Schr�dinger operator with a white Gaussian noise potential]
• Strichartz inequalities and the nonlinear Schrodinger equation on compact manifolds
• Space-time paraproducts for paracontrolled calculus, 3d-PAM and multiplicative Burgers equations
• HIGH ORDER PARACONTROLLED CALCULUS

This page was built for publication: Weyl law for the Anderson Hamiltonian on a two-dimensional manifold