Michael Aizenman
Michael Aizenman
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Rounding of first-order phase transitions in systems with quenched disorder
M Aizenman, J Wehr
Physical review letters 62 (21), 2503, 1989
Localization at large disorder and at extreme energies: An elementary derivations
M Aizenman, S Molchanov
Communications in Mathematical Physics 157, 245-278, 1993
Brownian motion and Harnack inequality for Schrödinger operators
M Aizenman, B Simon
Communications on Pure and Applied Mathematics 35 (2), 209-273, 1982
Geometric analysis of ϕ4 fields and Ising models
M Aizenman
Mathematical Problems in Theoretical Physics, 37-46, 1982
Proof of the Triviality of Field Theory and Some Mean-Field Features of Ising Models for
M Aizenman
Physical Review Letters 47 (1), 1, 1981
Sharpness of the phase transition in percolation models
M Aizenman, DJ Barsky
Communications in Mathematical Physics 108 (3), 489-526, 1987
Discontinuity of the magnetization in one-dimensional 1/¦xy¦2 Ising and Potts models
M Aizenman, JT Chayes, L Chayes, CM Newman
Journal of Statistical Physics 50, 1-40, 1988
Metastability effects in bootstrap percolation
M Aizenman, JL Lebowitz
Journal of Physics A: Mathematical and General 21 (19), 3801, 1988
Rounding effects of quenched randomness on first-order phase transitions
M Aizenman, J Wehr
Communications in mathematical physics 130 (3), 489-528, 1990
Localization at weak disorder: some elementary bounds
M Aizenman
Reviews in mathematical physics 6 (05a), 1163-1182, 1994
Tree graph inequalities and critical behavior in percolation models
M Aizenman, CM Newman
Journal of Statistical Physics 36 (1), 107-143, 1984
Uniqueness of the infinite cluster and continuity of connectivity functions for short and long range percolation
M Aizenman, H Kesten, CM Newman
Communications in Mathematical Physics 111 (4), 505-531, 1987
Some rigorous results on the Sherrington-Kirkpatrick spin glass model
M Aizenman, JL Lebowitz, D Ruelle
Communications in mathematical physics 112, 3-20, 1987
Random operators
M Aizenman, S Warzel
American Mathematical Soc., 2015
Extended variational principle for the Sherrington-Kirkpatrick spin-glass model
M Aizenman, R Sims, SL Starr
Physical Review B 68 (21), 214403, 2003
Localization bounds for an electron gas
M Aizenman, GM Graf
Journal of Physics A: Mathematical and General 31 (32), 6783, 1998
The phase transition in a general class of Ising-type models is sharp
M Aizenman, DJ Barsky, R Fernández
Journal of Statistical Physics 47, 343-374, 1987
Finite-Volume Fractional-Moment Criteria¶ for Anderson Localization
M Aizenman, JH Schenker, RM Friedrich, D Hundertmark
Communications in Mathematical Physics 224, 219-253, 2001
On the stability of the quenched state in mean-field spin-glass models
M Aizenman, P Contucci
Journal of statistical physics 92, 765-783, 1998
Translation invariance and instability of phase coexistence in the two dimensional Ising system
M Aizenman
Communications in Mathematical Physics 73 (1), 83-94, 1980
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