Michael Aizenman

12.3k total citations · 2 hit papers
96 papers, 7.3k citations indexed

About

Michael Aizenman is a scholar working on Mathematical Physics, Condensed Matter Physics and Statistical and Nonlinear Physics. According to data from OpenAlex, Michael Aizenman has authored 96 papers receiving a total of 7.3k indexed citations (citations by other indexed papers that have themselves been cited), including 61 papers in Mathematical Physics, 56 papers in Condensed Matter Physics and 32 papers in Statistical and Nonlinear Physics. Recurrent topics in Michael Aizenman's work include Theoretical and Computational Physics (54 papers), Stochastic processes and statistical mechanics (38 papers) and Spectral Theory in Mathematical Physics (19 papers). Michael Aizenman is often cited by papers focused on Theoretical and Computational Physics (54 papers), Stochastic processes and statistical mechanics (38 papers) and Spectral Theory in Mathematical Physics (19 papers). Michael Aizenman collaborates with scholars based in United States, Germany and Switzerland. Michael Aizenman's co-authors include B. B. Mandelbrot, Jan Wehr, Charles M. Newman, Joel L. Lebowitz, Barry Simon, David J. Barsky, Simone Warzel, Stanislav Molchanov, L. Chayes and Jennifer Chayes and has published in prestigious journals such as Physical Review Letters, Physical review. B, Condensed matter and Physics Today.

In The Last Decade

Michael Aizenman

94 papers receiving 6.7k citations

Hit Papers

Fractals: Form, Chance, and Dimension 1979 2026 1994 2010 1979 1989 500 1000 1.5k
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Fractals: Form, Chance, and Dimension
    1979 1.6k citations Michael Aizenman et al. profile →
  2. Rounding of first-order phase transitions in systems with quenched disorder
    1989 429 citations Michael Aizenman et al. Physical Review Letters profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Michael Aizenman United States 41 3.6k 3.3k 1.7k 1.7k 1.2k 96 7.3k
Charles M. Newman United States 50 2.8k 0.8× 2.6k 0.8× 1.2k 0.7× 1.7k 1.0× 515 0.4× 204 6.2k
Satya N. Majumdar France 53 3.6k 1.0× 4.2k 1.2× 3.8k 2.2× 1.5k 0.9× 1.5k 1.2× 311 10.5k
Mark Kac United States 35 2.0k 0.6× 1.8k 0.5× 3.2k 1.9× 778 0.5× 2.6k 2.2× 114 10.0k
Bernard Derrida France 62 5.8k 1.6× 8.0k 2.4× 4.7k 2.7× 2.0k 1.2× 2.3k 1.9× 196 13.7k
S. R. S. Varadhan United States 38 3.4k 0.9× 1.1k 0.3× 1.2k 0.7× 1.6k 0.9× 385 0.3× 98 7.0k
Yi-Cheng Zhang Switzerland 9 1.5k 0.4× 2.7k 0.8× 789 0.5× 547 0.3× 697 0.6× 9 4.1k
Richard S. Ellis United States 81 1.2k 0.3× 906 0.3× 2.0k 1.1× 762 0.4× 1.5k 1.2× 456 24.2k
Sergio Albeverio Germany 47 6.6k 1.8× 637 0.2× 2.5k 1.4× 917 0.5× 2.6k 2.2× 563 10.8k
R. K. P. Zia United States 40 1.6k 0.4× 2.9k 0.9× 1.5k 0.9× 499 0.3× 1.2k 1.0× 177 5.3k
R. L. Dobrushin Russia 27 1.5k 0.4× 1.0k 0.3× 725 0.4× 886 0.5× 280 0.2× 81 3.5k

Countries citing papers authored by Michael Aizenman

Since Specialization
Citations

This map shows the geographic impact of Michael Aizenman's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Michael Aizenman with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Michael Aizenman more than expected).

Fields of papers citing papers by Michael Aizenman

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Michael Aizenman. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Michael Aizenman. The network helps show where Michael Aizenman may publish in the future.

Co-authorship network of co-authors of Michael Aizenman

This figure shows the co-authorship network connecting the top 25 collaborators of Michael Aizenman. A scholar is included among the top collaborators of Michael Aizenman based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Michael Aizenman. Michael Aizenman is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Aizenman, Michael, et al.. (2023). Ruminations on matrix convexity and the strong subadditivity of quantum entropy. Letters in Mathematical Physics. 113(1).
2.
Aizenman, Michael & Simone Warzel. (2015). Random Operators. Graduate studies in mathematics. 72 indexed citations
3.
Sagi, Yoav, et al.. (2011). Motional broadening in ensembles with heavy-tail frequency distribution. Physical Review A. 83(4). 6 indexed citations
4.
Aizenman, Michael & Simone Warzel. (2009). Localization Bounds for Multiparticle Systems. Communications in Mathematical Physics. 290(3). 903–934. 52 indexed citations
5.
Aizenman, Michael, et al.. (2009). Rounding of First Order Transitions in Low-Dimensional Quantum Systems with Quenched Disorder. Physical Review Letters. 103(19). 197201–197201. 40 indexed citations
6.
Arguin, Louis‐Pierre & Michael Aizenman. (2008). On the Structure of Quasi-Stationary Competing Particle Systems. 33 indexed citations
7.
Zuk, Or, Eytan Domany, Ido Kanter, & Michael Aizenman. (2006). From Finite-System Entropy to Entropy Rate for a Hidden Markov Process. IEEE Signal Processing Letters. 13(9). 517–520. 13 indexed citations
8.
Aizenman, Michael, Alexander Elgart, & Jeffrey Schenker. (2002). Adiabatic charge transport and the Kubo formula for 2D Hall conductance. arXiv (Cornell University). 1 indexed citations
9.
Aizenman, Michael, et al.. (1999). Finite-volume Criteria for Anderson Localization. 2 indexed citations
10.
Aizenman, Michael, Bertrand Duplantier, & Amnon Aharony. (1999). Path-Crossing Exponents and the External Perimeter in 2D Percolation. Physical Review Letters. 83(7). 1359–1362. 69 indexed citations
11.
Aizenman, Michael. (1994). LOCALIZATION AT WEAK DISORDER: SOME ELEMENTARY BOUNDS. Reviews in Mathematical Physics. 6(05a). 1163–1182. 126 indexed citations
12.
Aizenman, Michael, Joel L. Lebowitz, & David Ruelle. (1988). Addendum: ``Some rigorous results on the Sherrington-Kirkpatrick spin glass model''. Communications in Mathematical Physics. 116(3). 527–527. 1 indexed citations
13.
Aizenman, Michael, Jennifer Chayes, L. Chayes, & Charles M. Newman. (1988). Discontinuity of the magnetization in one-dimensional 1/�x?y�2 Ising and Potts models. Journal of Statistical Physics. 50(1-2). 1–40. 229 indexed citations
14.
Aizenman, Michael & Charles M. Newman. (1984). Tree graph inequalities and critical behavior in percolation models. Journal of Statistical Physics. 36(1-2). 107–143. 144 indexed citations
15.
Aizenman, Michael & Élliott H. Lieb. (1981). The third law of thermodynamics and the degeneracy of the ground state for lattice systems. Journal of Statistical Physics. 24(1). 279–297. 76 indexed citations
16.
Aizenman, Michael. (1979). Instability of Phase Coexistence and Translation Invariance in Two Dimensions. Physical Review Letters. 43(6). 407–409. 20 indexed citations
17.
Aizenman, Michael & Herbert Spohn. (1979). Probabilistic methods for stationary problems of linear transport theory. Journal of Statistical Physics. 21(1). 23–32. 2 indexed citations
18.
Aizenman, Michael, E. B. Davies, & Élliott H. Lieb. (1978). Positive linear maps which are order bounded on C∗ subalgebras. Advances in Mathematics. 28(1). 84–86. 1 indexed citations
19.
Aizenman, Michael. (1978). A sufficient condition for the avoidance of sets by measurepreserving flows in ℝn. Duke Mathematical Journal. 45(4). 15 indexed citations
20.
Aizenman, Michael, Sheldon Goldstein, & Joel L. Lebowitz. (1975). Ergodic properties of an infinite one dimensional hard rod system. Communications in Mathematical Physics. 39(4). 289–301. 29 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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