Michael Aizenman

Subjects

Matter, properties, Functional analysis -- Miscellaneous applications of functional analysis -- Applications in quantum physics, Mathematical physics, Operator theory, Operator theory -- Special classes of linear operators -- Random operators, Order-disorder models, Probability theory and stochastic processes -- Stochastic analysis -- Random operators and equations, Quantum theory, Quantum theory -- General mathematical topics and methods in quantum theory -- Quantum mechanics on special spaces: manifolds, fractals, graphs, etc.., Quantum theory -- General mathematical topics and methods in quantum theory -- Selfadjoint operator theory in quantum theory, including spectral analysis, Random operators, Statistical mechanics, structure of matter -- Applications to specific types of physical systems -- Random media, disordered materials (including liquid crystals and spin glasses), Statistical mechanics, structure of matter -- Equilibrium statistical mechanics -- Disordered systems (random Ising models, random Schrödinger operators, etc.)., Stochastic analysis