2017 - Fellow of the American Academy of Arts and Sciences
2016 - Member of Academia Europaea
2013 - Fellow of the American Mathematical Society
2010 - Dannie Heineman Prize for Mathematical Physics, American Physical Society and American Institute of Physics
2002 - Brouwer Medal
1997 - Member of the National Academy of Sciences
1990 - Norbert Wiener Prize in Applied Mathematics
1984 - Fellow of John Simon Guggenheim Memorial Foundation
1981 - Fellow of Alfred P. Sloan Foundation
Michael Aizenman mainly investigates Mathematical analysis, Mathematical physics, Phase transition, Ising model and Exponential decay. The concepts of his Mathematical analysis study are interwoven with issues in Level repulsion and Percolation. He has researched Mathematical physics in several fields, including Matrix and Invariant.
His research investigates the connection with Phase transition and areas like Statistical physics which intersect with concerns in Continuous symmetry, Randomness, Gibbs state and Cellular automaton. His biological study spans a wide range of topics, including Quantum electrodynamics and Mean field theory. His Exponential decay research includes elements of Spectrum, Anderson localization and Density of states.
Michael Aizenman mainly focuses on Statistical physics, Quantum mechanics, Mathematical physics, Mathematical analysis and Ising model. His Statistical physics study integrates concerns from other disciplines, such as Stochastic process, Randomness, Scaling limit and Universality. His Mathematical physics research integrates issues from Lambda and Gibbs state.
The study incorporates disciplines such as Exponential decay, Density of states and Eigenfunction in addition to Mathematical analysis. His research in Ising model intersects with topics in Phase transition, Mean field theory, Percolation and Percolation critical exponents. He works mostly in the field of Percolation, limiting it down to concerns involving Directed percolation and, occasionally, Quantum.
His primary scientific interests are in Statistical physics, Quantum mechanics, Anderson localization, Mathematical physics and Quantum. His Statistical physics research is multidisciplinary, incorporating perspectives in Spectral line, Stationary ergodic process, Operator theory and Ergodicity. His studies in Mathematical physics integrate themes in fields like Lambda, Density of states and Eigenfunction.
His Eigenfunction study combines topics from a wide range of disciplines, such as Relation, Mathematical analysis and Exponential decay. His Quantum study integrates concerns from other disciplines, such as Absolute continuity and Randomness. As a member of one scientific family, Michael Aizenman mostly works in the field of Continuous symmetry, focusing on Lattice and, on occasion, Phase transition, Measurement theory and Scaling.
Statistical physics, Quantum, Particle system, Anderson localization and Quantum mechanics are his primary areas of study. His Statistical physics research includes themes of Spectral line, Randomness, Ballistic conduction and Graph theory. The various areas that Michael Aizenman examines in his Quantum study include Continuous symmetry and Phase transition.
His Anderson localization research is multidisciplinary, relying on both Mathematical analysis, Random potential, Exponential decay, Quantum Hall effect and Point process. His Quantum mechanics research focuses on Gibbs measure and Schrödinger's cat. His Bounded function research focuses on subjects like Adjacency list, which are linked to Absolute continuity, Lambda and Mathematical physics.
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Localization at large disorder and at extreme energies: an elementary derivation
Michael Aizenman;Stanislav Molchanov.
Communications in Mathematical Physics (1993)
Brownian motion and harnack inequality for Schrödinger operators
Michael Aizenman;B. Simon.
Communications on Pure and Applied Mathematics (1982)
Rounding of First-Order Phase Transitions in Systems with Quenched Disorder
Michael Aizenman;Jan Wehr.
Physical Review Letters (1989)
Sharpness of the phase transition in percolation models
Michael Aizenman;David J. Barsky.
Communications in Mathematical Physics (1987)
Geometric analysis of φ4 fields and Ising models. Parts I and II
Communications in Mathematical Physics (1982)
LOCALIZATION AT WEAK DISORDER: SOME ELEMENTARY BOUNDS
Reviews in Mathematical Physics (1994)
Tree graph inequalities and critical behavior in percolation models
Michael Aizenman;Charles M. Newman.
Journal of Statistical Physics (1984)
Proof of the Triviality of ϕ d 4 Field Theory and Some Mean-Field Features of Ising Models for d > 4
Physical Review Letters (1981)
Metastability effects in bootstrap percolation
M Aizenman;J L Lebowitz.
Journal of Physics A (1988)
Rounding effects of quenched randomness on first-order phase transitions
Michael Aizenman;Jan Wehr.
Communications in Mathematical Physics (1990)
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