One-dimensional ergodic Schrödinger operators

Schrödinger operator

Ergodic theory

Differentiable dynamical systems

Partial differential equations > Elliptic equations and systems > Schrödinger operator

Operator theory > General theory of linear operators > Spectrum, resolvent

Operator theory > Special classes of linear operators > Hermitian and normal operators (spectral measures, functional calculus, etc.)

Operator theory > Special classes of linear operators > Jacobi (tridiagonal) operators (matrices) and generalizations

Operator theory > Special classes of linear operators > Random operators

Convex and discrete geometry > Discrete geometry > Quasicrystals, aperiodic tilings

Global analysis, analysis on manifolds > Partial differential equations on manifolds; differential operators > Relations between spectral theory and ergodic theory, e.g. quantum unique ergodicity

Quantum theory > General mathematical topics and methods in quantum theory > Selfadjoint operator theory in quantum theory, including spectral analysis

Statistical mechanics, structure of matter > Equilibrium statistical mechanics > Disordered systems (random Ising models, random Schrödinger operators, etc.)