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Mathematics

D-Index
64
Citations
15189
World Ranking
421
National Ranking
223

Research.com Recognitions

  • 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

Overview

Michael Aizenman is affiliated with Princeton University in the United States. Their research spans several main fields of study, with a strong presence in Mathematics, Physics and Astronomy, and Computer Science.

The subfields in which they have published include Condensed Matter Physics, Mathematical Physics, Statistics and Probability, Artificial Intelligence, and Applied Mathematics. Their work covers a broad range of topics such as:

  • Theoretical and Computational Physics
  • Stochastic processes and statistical mechanics
  • Markov Chains and Monte Carlo Methods
  • Quantum Computing Algorithms and Architecture
  • Quantum Information and Cryptography
  • Mathematical Inequalities and Applications
  • Matrix Theory and Algorithms

Aizenman's publication record features papers in various notable venues including:

  • arXiv (Cornell University)
  • Annals of Mathematics
  • Letters in Mathematical Physics
  • Communications in Mathematical Physics
  • Journal of Statistical Physics

Recent selected papers include:

  • Marginal triviality of the scaling limits of critical 4D Ising and λφ₄⁴ models, 2021, Annals of Mathematics
  • Depinning in integer-restricted Gaussian Fields and BKT phases of two-component spin models, 2021, arXiv (Cornell University)
  • Entanglement Entropy Bounds for Pure States of Rapid Decorrelation, 2025, Communications in Mathematical Physics
  • Ruminations on matrix convexity and the strong subadditivity of quantum entropy, 2023, Letters in Mathematical Physics
  • A geometric perspective on the scaling limits of critical Ising and φ⁴_d models, 2021, arXiv (Cornell University)

Frequent collaborators of Michael Aizenman include Giorgio Cipolloni, Hugo Duminil-Copin, Simone Warzel, Matan Harel, and Ron Peled.

The scientist has received several honors and awards over the course of their career, such as:

  • Fellow of the American Academy of Arts and Sciences (2017)
  • Member of Academia Europaea (2016)
  • Fellow of the American Mathematical Society (2013)
  • Dannie Heineman Prize for Mathematical Physics, American Physical Society and American Institute of Physics (2010)
  • Brouwer Medal (2002)
  • Member of the National Academy of Sciences (1997)
  • Norbert Wiener Prize in Applied Mathematics (1990)
  • Fellow of John Simon Guggenheim Memorial Foundation (1984)
  • Fellow of Alfred P. Sloan Foundation (1981)

Best Publications

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

    Michael Aizenman;Stanislav Molchanov

  • Brownian motion and harnack inequality for Schrödinger operators

    Michael Aizenman;B. Simon

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

    Michael Aizenman;Jan Wehr

  • Sharpness of the phase transition in percolation models

    Michael Aizenman;David J. Barsky

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

    Michael Aizenman

  • LOCALIZATION AT WEAK DISORDER: SOME ELEMENTARY BOUNDS

    Michael Aizenman

  • Discontinuity of the magnetization in one-dimensional 1/¦x−y¦2 Ising and Potts models

    M. Aizenman;J. T. Chayes;L. Chayes;C. M. Newman

  • Tree graph inequalities and critical behavior in percolation models

    Michael Aizenman;Charles M. Newman

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

    Michael Aizenman

  • Metastability effects in bootstrap percolation

    M Aizenman;J L Lebowitz

  • Rounding effects of quenched randomness on first-order phase transitions

    Michael Aizenman;Jan Wehr

  • Localization bounds for an electron gas

    M Aizenman;G M Graf

  • Uniqueness of the infinite cluster and continuity of connectivity functions for short and long range percolation

    M. Aizenman;H. Kesten;C. M. Newman

  • Some rigorous results on the Sherrington-Kirkpatrick spin glass model

    Michael Aizenman;J. L. Lebowitz;D. Ruelle

  • Discontinuity of the percolation density in one dimensional 1/|x−y|2 percolation models

    M. Aizenman;C. M. Newman

  • Convergence to equilibrium in a system of reacting polymers

    Michael Aizenman;Thor A. Bak

  • Finite-Volume Fractional-Moment Criteria¶for Anderson Localization

    Michael Aizenman;Jeffrey H. Schenker;Roland M. Friedrich;Dirk Hundertmark

  • Extended variational principle for the Sherrington-Kirkpatrick spin-glass model

    Michael Aizenman;Robert Sims;Shannon L. Starr

  • The phase transition in a general class of Ising-type models is sharp

    M. Aizenman;D. J. Barsky;R. Fernández

  • On the Number of Incipient Spanning Clusters

    Michael Aizenman

  • Translation invariance and instability of phase coexistence in the two-dimensional Ising system

    Michael Aizenman

Frequent Co-Authors

Joel L. Lebowitz
Joel L. Lebowitz Rutgers, The State University of New Jersey
Elliott H. Lieb
Elliott H. Lieb Princeton University
Charles M. Newman
Charles M. Newman Courant Institute of Mathematical Sciences
Jan Philip Solovej
Jan Philip Solovej University of Copenhagen
Barry Simon
Barry Simon California Institute of Technology
Sheldon Goldstein
Sheldon Goldstein Rutgers, The State University of New Jersey
Giovanni Gallavotti
Giovanni Gallavotti National Institute for Nuclear Physics
Abel Klein
Abel Klein University of California, Irvine
Amnon Aharony
Amnon Aharony Tel Aviv University

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