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Michael Aizenman | Researchclopedia

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Michael Aizenman

Princeton University ORCID

181

Works

12,320

Citations

54

h-index

93

i10-index

Research Topics

Theoretical and Computational Physics Stochastic processes and statistical mechanics Spectral Theory in Mathematical Physics

Affiliations

Rutgers, The State University of New Jersey1983–2009

University of California, Los Angeles2007–2007

Hebrew University of Jerusalem1974–1974

Yeshiva University1975–2008

Princeton University1976–2025

Top Works

<i>Fractals: Form, Chance, and Dimension</i>

B. B. Mandelbrot,Michael Aizenman

19792,161 citations

Quantum chaos and dynamical systems

Markov Chains and Monte Carlo Methods

Rounding of first-order phase transitions in systems with quenched disorder

Michael Aizenman,Jan Wehr

1989574 citations

Localization at large disorder and at extreme energies: An elementary derivations

Michael Aizenman,Stanislav Molchanov

1993521 citations

Brownian motion and harnack inequality for Schrödinger operators

Michael Aizenman,Barry Simon

1982495 citations

Geometric analysis of ?4 fields and Ising models. Parts I and II

Michael Aizenman

1982433 citations

Sharpness of the phase transition in percolation models

Michael Aizenman,David J. Barsky

1987374 citations

Proof of the Triviality of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>ϕ</mml:mi></mml:mrow><mml:mrow><mml:mi>d</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>Field Theory and Some Mean-Field Features of Ising Models for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>d</mml:mi><mml:mo>></mml:mo><mml:mn/><mml:mn>4</mml:mn><mml:mn/></mml:math>

Michael Aizenman

1981359 citations

Discontinuity of the magnetization in one-dimensional 1/�x?y�2 Ising and Potts models

Michael Aizenman,Jennifer Chayes,et al.

1988348 citations

Tree graph inequalities and critical behavior in percolation models

Michael Aizenman,Charles M. Newman

1984289 citations