World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
64
Citations
15189
World Ranking
421
National Ranking
224

Michael Aizenman publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Michael Aizenman sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 155 publications — 41st percentile

41% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Michael Aizenman D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Michael Aizenman sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 64 D-Index — 89th percentile

89% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

Mathematics graduates often explore diverse career paths that leverage their analytical skills. Online degrees, such as data science or analytics programs, have become increasingly popular because they combine mathematical theory with practical applications. For students interested in enhancing their qualifications, exploring data analysis programs can be a strategic move, offering skills highly sought after in today's data-driven job market.

In addition, some graduates look to pivot towards business roles. For those considering a Master of Business Administration, it's important to understand policies around credit transfers. Many aspiring professionals wonder can you transfer MBA credits, which can save time and reduce costs.

Choosing the right MBA specialization is crucial. Some find that selecting easiest MBA specialization options helps balance workload while still gaining valuable credentials. Furthermore, for those who need flexibility, researching the easiest online MBA programs can offer accessible pathways to advance their careers without compromising current work or life commitments.

Best Scientists Citing Michael Aizenman

Trending Scientists

Recently Published Articles