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- Michael Aizenman

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
57
Citations
12,320
132
World Ranking
491
National Ranking
264

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

- Quantum mechanics
- Mathematical analysis
- Quantum field theory

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.

- Localization at large disorder and at extreme energies: an elementary derivation (571 citations)
- Brownian motion and harnack inequality for Schrödinger operators (432 citations)
- Geometric analysis of φ4 fields and Ising models. Parts I and II (360 citations)

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.

- Statistical physics (20.83%)
- Quantum mechanics (20.24%)
- Mathematical physics (17.86%)

- Statistical physics (20.83%)
- Quantum mechanics (20.24%)
- Anderson localization (8.33%)

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.

- Resonant delocalization for random Schrödinger operators on tree graphs (67 citations)
- Random Operators: Disorder Effects on Quantum Spectra and Dynamics (65 citations)
- Resonant delocalization for random Schr"odinger operators on tree graphs (62 citations)

- Quantum mechanics
- Mathematical analysis
- Quantum field theory

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.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Localization at large disorder and at extreme energies: an elementary derivation

Michael Aizenman;Stanislav Molchanov.

Communications in Mathematical Physics **(1993)**

915 Citations

Brownian motion and harnack inequality for Schrödinger operators

Michael Aizenman;B. Simon.

Communications on Pure and Applied Mathematics **(1982)**

675 Citations

Rounding of First-Order Phase Transitions in Systems with Quenched Disorder

Michael Aizenman;Jan Wehr.

Physical Review Letters **(1989)**

579 Citations

Sharpness of the phase transition in percolation models

Michael Aizenman;David J. Barsky.

Communications in Mathematical Physics **(1987)**

576 Citations

Geometric analysis of φ4 fields and Ising models. Parts I and II

Michael Aizenman.

Communications in Mathematical Physics **(1982)**

571 Citations

LOCALIZATION AT WEAK DISORDER: SOME ELEMENTARY BOUNDS

Michael Aizenman.

Reviews in Mathematical Physics **(1994)**

450 Citations

Tree graph inequalities and critical behavior in percolation models

Michael Aizenman;Charles M. Newman.

Journal of Statistical Physics **(1984)**

422 Citations

Proof of the Triviality of ϕ d 4 Field Theory and Some Mean-Field Features of Ising Models for d > 4

Michael Aizenman.

Physical Review Letters **(1981)**

421 Citations

Metastability effects in bootstrap percolation

M Aizenman;J L Lebowitz.

Journal of Physics A **(1988)**

338 Citations

Rounding effects of quenched randomness on first-order phase transitions

Michael Aizenman;Jan Wehr.

Communications in Mathematical Physics **(1990)**

317 Citations

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