Frédéric Klopp

Spectral statistics for random Schrödinger operators in the localized regime

We study various statistics related to the eigenvalues and eigenfunctions of random Hamiltonians in the localized regime. Consider a random Hamiltonian at an energy

The Wegner estimate and the integrated density of states for some random operators

E

Lifshitz tails for alloy type models in a constant magnetic field

in the localized phase. Assume the density of states function is not too flat near

Lifshitz Tails in Constant Magnetic Fields

E

Resonances for large one-dimensional “ergodic” systems

. Restrict it to some large cube

The Gross–Pitaevskii Functional with a Random Background Potential and Condensation in the Single Particle Ground State

Lambda

Understanding the Random Displacement Model: From Ground State Properties to Localization

. Consider now

Resonances for “Large” Ergodic Systems in One Dimension: A Review

I_Lambda

Anderson Localization for 2D Discrete Schrödinger Operators with Random Magnetic Fields

, a small energy interval centered at

Enhanced Wegner and Minami Estimates and Eigenvalue Statistics of Random Anderson Models at Spectral Edges

E