Michael Aizenman

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Simone WarzelTUMVerified email at ma.tum.de
Elliott LiebProf. of mathematics and physics, Princeton UniversityVerified email at math.princeton.edu
Jeffrey SchenkerMichigan State UniversityVerified email at math.msu.edu
Robert SimsProfessor of Mathematics, University of ArizonaVerified email at math.arizona.edu
Hugo Duminil-copinProfesseur de mathématiques, Université de GenèveVerified email at unige.ch
Barry SimonCaltechVerified email at caltech.edu
Jennifer ChayesProfessor, UC BerkeleyVerified email at jenniferchayes.com
Alexander ElgartProfessor of Mathematics, Virginia TechVerified email at vt.edu
Roberto FernandezNew York University ShanghaiVerified email at nyu.edu
Gunter StolzUniversity of Alabama at BirminghamVerified email at uab.edu
Jürg FröhlichProfessor of Theoretical Physics emeritus, ETH ZurichVerified email at phys.ethz.ch
Dirk HundertmarkProfessor, Applied Analysis, KITVerified email at kit.edu
Ron PeledProfessor of Mathematics, Tel Aviv UniversityVerified email at tauex.tau.ac.il
Bruno NachtergaeleUniversity of California, DavisVerified email at math.ucdavis.edu
Almut BurchardUniversity of TorontoVerified email at math.toronto.edu
Jakob YngvasonProfessor of Mathematical Physics, University of ViennaVerified email at univie.ac.at
Jan Philip SolovejUniversity of CopenhagenVerified email at math.ku.dk
Amnon AharonySchool of Physics and Astronomy, Tel Aviv UniversityVerified email at tauex.tau.ac.il
Rafael Leon GreenblattUniversità di Roma "Tor Vergata"Verified email at mat.uniroma2.it
Pierluigi ContucciProfessor of Mathematical Physics, Alma Mater Studiorum - University of BolognaVerified email at unibo.it

Michael Aizenman

Princeton University

Verified email at princeton.edu - Homepage

mathematical physics analysis probability


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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	790	1989
Localization at large disorder and at extreme energies: An elementary derivations M Aizenman, S Molchanov Communications in Mathematical Physics 157, 245-278, 1993	723	1993
Brownian motion and Harnack inequality for Schrödinger operators M Aizenman, B Simon Communications on Pure and Applied Mathematics 35 (2), 209-273, 1982	684	1982
Geometric analysis of φ⁴ fields and Ising models. Parts I and II M Aizenman Communications in mathematical Physics 86 (1), 1-48, 1982	657	1982
Geometric analysis of ϕ⁴ fields and Ising models M Aizenman Mathematical Problems in Theoretical Physics, 37-46, 1982	657*	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	512	1981
Sharpness of the phase transition in percolation models M Aizenman, DJ Barsky Communications in Mathematical Physics 108 (3), 489-526, 1987	500	1987
Discontinuity of the magnetization in one-dimensional 1/¦x−y¦² Ising and Potts models M Aizenman, JT Chayes, L Chayes, CM Newman Journal of Statistical Physics 50, 1-40, 1988	438	1988
Metastability effects in bootstrap percolation M Aizenman, JL Lebowitz Journal of Physics A: Mathematical and General 21 (19), 3801, 1988	383	1988
Rounding effects of quenched randomness on first-order phase transitions M Aizenman, J Wehr Communications in mathematical physics 130 (3), 489-528, 1990	351	1990
Localization at weak disorder: some elementary bounds M Aizenman Reviews in mathematical physics 6 (05a), 1163-1182, 1994	321	1994
Tree graph inequalities and critical behavior in percolation models M Aizenman, CM Newman Journal of Statistical Physics 36 (1), 107-143, 1984	312	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	307	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	280	1987
Random operators M Aizenman, S Warzel American Mathematical Soc., 2015	251	2015
Localization bounds for an electron gas M Aizenman, GM Graf Journal of Physics A: Mathematical and General 31 (32), 6783, 1998	246	1998
Extended variational principle for the Sherrington-Kirkpatrick spin-glass model M Aizenman, R Sims, SL Starr Physical Review B 68 (21), 214403, 2003	241	2003
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	237	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	220	2001
Translation invariance and instability of phase coexistence in the two dimensional Ising system M Aizenman Communications in Mathematical Physics 73 (1), 83-94, 1980	217	1980

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