Leonid Pastur

Work

• In random matrix theory: together with Vladimir Marchenko, he discovered the Marchenko-Pastur law. Later, he devised a more general approach to study random matrices with independent entries in the global regime. Together with Mariya Shcherbina, he found the first rigorous proof of universality for invariant matrix ensembles.
• In the spectral theory of random Schrödinger operators, he introduced the class of metrically transitive operators, and discovered several fundamental properties of this class. Together with Ilya Goldsheid and Stanislav Molchanov, he established Anderson localization for a class of one-dimensional self-adjoint operators with random potentials; this was the first mathematically rigorous proof of Anderson localization.

  Awards and honors