☰

Michael Aizenman - Publications

Affiliations: 
1982-1987 Physics and Mathematics Rutgers University, New Brunswick, New Brunswick, NJ, United States 
 1990- Physics and Mathematics Princeton University, Princeton, NJ 
Area:
Analysis and Probability Theory
Website:
https://www.princeton.edu/~aizenman/
Tree Info Similar researchers PubMed Report error

84 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2020 Aizenman M, Duminil-Copin H, Warzel S. Dimerization and Néel Order in Different Quantum Spin Chains Through a Shared Loop Representation. Annales Henri Poincare. 21: 2737-2774. PMID 32765188 DOI: 10.1007/S00023-020-00924-2  0.388
2017 Aizenman M, Peled R, Schenker J, Shamis M, Sodin S. Matrix regularizing effects of Gaussian perturbations Communications in Contemporary Mathematics. 19: 1750028. DOI: 10.1142/S0219199717500286  0.674
2017 Aizenman M, Valcázar ML, Warzel S. Pfaffian Correlation Functions of Planar Dimer Covers Journal of Statistical Physics. 166: 1078-1091. DOI: 10.1007/S10955-016-1684-8  0.317
2015 Aizenman M, Duminil-Copin H, Sidoravicius V. Random Currents and Continuity of Ising Model’s Spontaneous Magnetization Communications in Mathematical Physics. 334: 719-742. DOI: 10.1007/S00220-014-2093-Y  0.395
2015 Aizenman M, Warzel S. Boosted Simon-Wolff Spectral Criterion and Resonant Delocalization Communications On Pure and Applied Mathematics. DOI: 10.1002/Cpa.21625  0.406
2014 Aizenman M, Warzel S. On the ubiquity of the Cauchy distribution in spectral problems Probability Theory and Related Fields. 163: 61-87. DOI: 10.1007/S00440-014-0587-3  0.354
2014 Aizenman M, Shamis M, Warzel S. Resonances and Partial Delocalization on the Complete Graph Annales Henri Poincare. 16: 1969-2003. DOI: 10.1007/S00023-014-0366-9  0.39
2013 Aizenman M, Warzel S. Resonant delocalization for random Schrödinger operators on tree graphs Journal of the European Mathematical Society. 15: 1167-1222. DOI: 10.4171/Jems/389  0.394
2012 Aizenman M, Warzel S. Absolutely continuous spectrum implies ballistic transport for quantum particles in a random potential on tree graphs Journal of Mathematical Physics. 53. DOI: 10.1063/1.4714617  0.332
2012 Aizenman M, Greenblatt RL, Lebowitz JL. Proof of rounding by quenched disorder of first order transitions in low-dimensional quantum systems Journal of Mathematical Physics. 53. DOI: 10.1063/1.3679069  0.523
2011 Aizenman M, Warzel S. Extended states in a Lifshitz tail regime for random Schrödinger operators on trees. Physical Review Letters. 106: 136804. PMID 21517407 DOI: 10.1103/Physrevlett.106.136804  0.42
2011 Aizenman M, Warzel S. Absence of mobility edge for the Anderson random potential on tree graphs at weak disorder Epl. 96. DOI: 10.1209/0295-5075/96/37004  0.37
2010 Aizenman M, Warzel S. Complete Dynamical Localization in Disordered Quantum Multi-Particle Systems Arxiv: Mathematical Physics. 556-565. DOI: 10.1142/9789814304634_0050  0.314
2010 Greenblatt RL, Aizenman M, Lebowitz JL. On spin systems with quenched randomness: Classical and quantum Physica a: Statistical Mechanics and Its Applications. 389: 2902-2906. DOI: 10.1016/J.Physa.2009.12.066  0.539
2010 Aizenman M, Jansen S, Jung P. Symmetry Breaking in Quasi-1D Coulomb Systems Annales Henri Poincare. 11: 1453-1485. DOI: 10.1007/S00023-010-0067-Y  0.353
2009 Greenblatt RL, Aizenman M, Lebowitz JL. Rounding of first order transitions in low-dimensional quantum systems with quenched disorder. Physical Review Letters. 103: 197201. PMID 20365949 DOI: 10.1103/Physrevlett.103.197201  0.524
2009 Arguin LP, Aizenman M. On the structure of quasi-stationary competing particle systems Annals of Probability. 37: 1080-1113. DOI: 10.1214/08-Aop429  0.364
2009 Greenblatt RL, Aizenman M, Lebowitz JL. Rounding of first order transitions in low-dimensional quantum systems with quenched disorder Physical Review Letters. 103. DOI: 10.1103/PhysRevLett.103.197201  0.431
2009 Aizenman M, Warzel S. On the joint distribution of energy levels of random Schrödinger operators Journal of Physics a: Mathematical and Theoretical. 42. DOI: 10.1088/1751-8113/42/4/045201  0.417
2009 Aizenman M, Germinet F, Klein A, Warzel S. On Bernoulli decompositions for random variables, concentration bounds, and spectral localization Probability Theory and Related Fields. 143: 219-238. DOI: 10.1007/S00440-007-0125-7  0.368
2009 Aizenman M, Warzel S. Localization bounds for multiparticle systems Communications in Mathematical Physics. 290: 903-934. DOI: 10.1007/S00220-009-0792-6  0.422
2006 Stolz G, Aizenman M, Elgart A, Naboko S, Schenker JH. Fractional moment methods for Anderson localization in the continuum Xivth International Congress On Mathematical Physics: Lisbon, 28 July - 2 August 2003. 619-625. DOI: 10.1142/9789812704016_0063  0.697
2006 Zuk O, Domany E, Kanter I, Aizenman M. From finite-system entropy to entropy rate for a hidden Markov process Ieee Signal Processing Letters. 13: 517-520. DOI: 10.1109/Lsp.2006.874466  0.306
2006 Aizenman M, Warzel S. The canopy graph and level statistics for random operators on trees Mathematical Physics Analysis and Geometry. 9: 291-333. DOI: 10.1007/S11040-007-9018-3  0.397
2006 Aizenman M, Sims R, Warzel S. Stability of the absolutely continuous spectrum of random Schrödinger operators on tree graphs Probability Theory and Related Fields. 136: 363-394. DOI: 10.1007/S00440-005-0486-8  0.364
2006 Aizenman M, Elgart A, Naboko S, Schenker JH, Stolz G. Moment analysis for localization in random Schrödinger operators Inventiones Mathematicae. 163: 343-413. DOI: 10.1007/S00222-005-0463-Y  0.715
2006 Aizenman M, Sims R, Warzel S. Absolutely continuous spectra of quantum tree graphs with weak disorder Communications in Mathematical Physics. 264: 371-389. DOI: 10.1007/S00220-005-1468-5  0.373
2006 Aizenman M, Lieb EH, Seiringer R, Solovej JP, Yngvason J. Bose-Einstein condensation as a quantum phase transition in an optical lattice Lecture Notes in Physics. 690: 199-215. DOI: 10.1007/3-540-34273-7_16  0.536
2005 Aizenman M, Warzel S. Persistence under Weak Disorder of AC Spectra of Quasi-Periodic Schrödinger Operators on Trees Graphs Moscow Mathematical Journal. 5: 499-506. DOI: 10.17323/1609-4514-2005-5-3-499-506  0.305
2005 Ruzmaikina A, Aizenman M. Characterization of invariant measures at the leading edge for competing particle systems Annals of Probability. 33: 82-113. DOI: 10.1214/009117904000000865  0.391
2005 Aizenman M, Lieb EH. On semi-classical bounds for eigenvalues of schrödinger operators The Stability of Matter: From Atoms to Stars: Fourth Edition. 241-243. DOI: 10.1016/0375-9601(78)90385-7  0.528
2004 Aizenman M, Lieb EH, Seiringer R, Solovej JP, Yngvason J. Bose-Einstein quantum phase transition in an optical lattice model Physical Review a - Atomic, Molecular, and Optical Physics. 70: 023612-1-0236121-2. DOI: 10.1103/Physreva.70.023612  0.543
2004 Douglas M, Lebowitz JL, Sarnak P, Aizenman M. Communications in Mathematical Physics: Preface Communications in Mathematical Physics. 252: 1. DOI: 10.1007/S00220-004-1230-4  0.395
2003 Aizenman M, Sims R, Starr SL. Extended variational principle for the Sherrington-Kirkpatrick spin-glass model Physical Review B - Condensed Matter and Materials Physics. 68: 2144031-2144034. DOI: 10.1103/Physrevb.68.214403  0.311
2001 Aizenman M, Goldstein S, Lebowitz JL. Bounded fluctuations and translation symmetry breaking in one-dimensional particle systems Journal of Statistical Physics. 103: 601-618. DOI: 10.1023/A:1010397401128  0.508
2001 Aizenman M, Schenker JH, Friedrich RM, Hundertmark D. Finite-volume fractional-moment criteria for Anderson localization Communications in Mathematical Physics. 224: 219-253. DOI: 10.1007/S002200100441  0.717
2000 Schenker JH, Aizenman M. The creation of spectral gaps by graph decoration Letters in Mathematical Physics. 53: 253-262. DOI: 10.1023/A:1011032212489  0.662
2000 Aizenman M, Schenker JH, Friedrich RM, Hundertmark D. Constructive fractional-moment criteria for localization in random operators Physica a: Statistical Mechanics and Its Applications. 279: 369-377. DOI: 10.1016/S0378-4371(00)00012-1  0.712
1999 Aizenman M, Burchard A. Hölder regularity and dimension bounds for random curves Duke Mathematical Journal. 99: 419-453. DOI: 10.1215/S0012-7094-99-09914-3  0.382
1999 Aizenman M, Burchard A, Newman CM, Wilson DB. Scaling limits for minimal and random spanning trees in two dimensions Random Structures and Algorithms. 15: 319-367. DOI: 10.1002/(Sici)1098-2418(199910/12)15:3/4<319::Aid-Rsa8>3.0.Co;2-G  0.362
1998 Aizenman M, Graf GM. Localization bounds for an electron gas Journal of Physics a: Mathematical and General. 31: 6783-6806. DOI: 10.1088/0305-4470/31/32/004  0.386
1994 AIZENMAN M. LOCALIZATION AT WEAK DISORDER: SOME ELEMENTARY BOUNDS Reviews in Mathematical Physics. 6: 1163-1182. DOI: 10.1142/S0129055X94000419  0.344
1994 Aizenman M. On the slow decay of O(2) correlations in the absence of topological excitations: Remark on the Patrascioiu-Seiler model Journal of Statistical Physics. 77: 351-359. DOI: 10.1007/Bf02186846  0.32
1994 Aizenman M, Nachtergaele B. Geometric aspects of quantum spin states Communications in Mathematical Physics. 164: 17-63. DOI: 10.1007/Bf02108805  0.362
1993 Aizenman M, Molchanov S. Localization at large disorder and at extreme energies: An elementary derivations Communications in Mathematical Physics. 157: 245-278. DOI: 10.1007/Bf02099760  0.372
1991 Aizenman M, Grimmett G. Strict monotonicity for critical points in percolation and ferromagnetic models Journal of Statistical Physics. 63: 817-835. DOI: 10.1007/Bf01029985  0.381
1990 Aizenman M, Lieb EH. Magnetic properties of some itinerant-electron systems at T>0. Physical Review Letters. 65: 1470-1473. PMID 10042274 DOI: 10.1103/Physrevlett.65.1470  0.498
1990 Aizenman M, Wehr J. Erratum: Rounding of first-order phase transitions in systems with quenched disorder [Phys. Rev. Lett. 62, 2503 (1989)] Physical Review Letters. 64: 1311. DOI: 10.1103/Physrevlett.64.1311  0.317
1990 Aizenman M, Wehr J. Rounding effects of quenched randomness on first-order phase transitions Communications in Mathematical Physics. 130: 489-528. DOI: 10.1007/Bf02096933  0.438
1990 Wehr J, Aizenman M. Fluctuations of extensive functions of quenched random couplings Journal of Statistical Physics. 60: 287-306. DOI: 10.1007/Bf01314921  0.363
1989 Aizenman M, Wehr J. Rounding of first-order phase transitions in systems with quenched disorder. Physical Review Letters. 62: 2503-2506. PMID 10040005 DOI: 10.1103/Physrevlett.62.2503  0.378
1988 Aizenman M, Lebowitz JL. Metastability effects in bootstrap percolation Journal of Physics a: Mathematical and General. 21: 3801-3813. DOI: 10.1088/0305-4470/21/19/017  0.477
1988 Aizenman M, Lebowitz JL, Ruelle D. Some rigorous results on the Sherrington-Kirkpatrick spin glass model Communications in Mathematical Physics. 116: 527. DOI: 10.1007/Bf01229207  0.411
1988 Aizenman M, Chayes JT, Chayes L, Newman CM. Discontinuity of the magnetization in one-dimensional 1/|x-y|2 Ising and Potts models Journal of Statistical Physics. 50: 1-40. DOI: 10.1007/Bf01022985  0.664
1988 Aizenman M, Fernández R. Critical exponents for long-range interactions Letters in Mathematical Physics. 16: 39-49. DOI: 10.1007/Bf00398169  0.352
1987 Aizenman M, Chayes JT, Chayes L, Newman CM. The phase boundary in dilute and random Ising and Potts ferromagnets Journal of Physics a: General Physics. 20: L313-L318. DOI: 10.1088/0305-4470/20/5/010  0.31
1987 Aizenman M, Kesten H, Newman CM. Uniqueness of the infinite cluster and continuity of connectivity functions for short and long range percolation Communications in Mathematical Physics. 111: 505-531. DOI: 10.1007/Bf01219071  0.336
1987 Aizenman M, Barsky DJ. Sharpness of the phase transition in percolation models Communications in Mathematical Physics. 108: 489-526. DOI: 10.1007/Bf01212322  0.381
1987 Aizenman M, Bricmont J, Lebowitz JL. Percolation of the minority spins in high-dimensional Ising models Journal of Statistical Physics. 49: 859-865. DOI: 10.1007/Bf01009363  0.465
1987 Aizenman M, Barsky DJ, Fernández R. The phase transition in a general class of Ising-type models is sharp Journal of Statistical Physics. 47: 343-374. DOI: 10.1007/Bf01007515  0.38
1986 Aizenman M. Rigorous studies of critical behavior Physica a: Statistical Mechanics and Its Applications. 140: 225-231. DOI: 10.1016/0378-4371(86)90226-8  0.349
1986 Aizenman M, Newman CM. Discontinuity of the percolation density in one dimensional 1/|x-y|2 percolation models Communications in Mathematical Physics. 107: 611-647. DOI: 10.1007/Bf01205489  0.324
1986 Aizenman M, Fernández R. On the critical behavior of the magnetization in high-dimensional Ising models Journal of Statistical Physics. 44: 393-454. DOI: 10.1007/Bf01011304  0.361
1985 Aizenman M. The intersection of Brownian paths as a case study of a renormalization group method for quantum field theory Communications in Mathematical Physics. 97: 91-110. DOI: 10.1007/Bf01206180  0.334
1984 Aizenman M, Newman CM. Tree graph inequalities and critical behavior in percolation models Journal of Statistical Physics. 36: 107-143. DOI: 10.1007/Bf01015729  0.363
1983 Aizenman M, Graham R. On the renormalized coupling constant and the susceptibility in φ4 4 field theory and the Ising model in four dimensions Nuclear Physics, Section B. 225: 261-288. DOI: 10.1016/0550-3213(83)90053-6  0.313
1983 Aizenman M, Chayes JT, Chayes L, Fröhlich J, Russo L. On a sharp transition from area law to perimeter law in a system of random surfaces Communications in Mathematical Physics. 92: 19-69. DOI: 10.1007/Bf01206313  0.358
1982 Aizenman M. Geometric analysis of φ4 fields and Ising models. Parts I and II Communications in Mathematical Physics. 86: 1-48. DOI: 10.1007/Bf01205659  0.377
1981 Aizenman M, Fröhlich J. States of one-dimensional Coulomb systems as simple examples of θ vacua and confinement Journal of Statistical Physics. 26: 347-364. DOI: 10.1007/Bf01013176  0.383
1981 Aizenman M, Lieb EH. The third law of thermodynamics and the degeneracy of the ground state for lattice systems Journal of Statistical Physics. 24: 279-297. DOI: 10.1007/Bf01007649  0.569
1980 Aizenman M, Simon B. A comparison of plane rotor and Ising models Physics Letters A. 76: 281-282. DOI: 10.1016/0375-9601(80)90493-4  0.305
1980 Aizenman M, Simon B. Local Ward identities and the decay of correlations in ferromagnets Communications in Mathematical Physics. 77: 137-143. DOI: 10.1007/Bf01982713  0.347
1980 Aizenman M. Translation invariance and instability of phase coexistence in the two dimensional Ising system Communications in Mathematical Physics. 73: 83-94. DOI: 10.1007/Bf01942696  0.377
1980 Aizenman M, Martin PA. Structure of gibbs states of one dimensional Coulomb systems Communications in Mathematical Physics. 78: 99-116. DOI: 10.1007/Bf01941972  0.352
1980 Aizenman M, Delyon F, Souillard B. Lower bounds on the cluster size distribution Journal of Statistical Physics. 23: 267-280. DOI: 10.1007/Bf01011369  0.368
1979 Aizenman M. Instability of phase coexistence and translation invariance in two dimensions Physical Review Letters. 43: 407-409. DOI: 10.1103/Physrevlett.43.407  0.314
1979 Aizenman M, Spohn H. Probabilistic methods for stationary problems of linear transport theory Journal of Statistical Physics. 21: 23-32. DOI: 10.1007/Bf01011478  0.347
1978 Aizenman M, Davies EB, Lieb EH. Positive linear maps which are order bounded on C* subalgebras Advances in Mathematics. 28: 84-86. DOI: 10.1016/0001-8708(78)90046-4  0.538
1978 Aizenman M, Goldstein S, Lebowitz JL. Conditional equilibrium and the equivalence of microcanonical and grandcanonical ensembles in the thermodynamic limit Communications in Mathematical Physics. 62: 279-302. DOI: 10.1007/Bf01202528  0.506
1978 Aizenman M, Lebowitz J, Marro J. Time-displaced correlation functions in an infinite one-dimensional mixture of hard rods with different diameters Journal of Statistical Physics. 18: 179-190. DOI: 10.1007/Bf01014309  0.496
1977 Aizenman M, Goldstein S, Gruber C, Lebowitz JL, Martin P. On the equivalence between KMS-states and equilibrium states for classical systems Communications in Mathematical Physics. 53: 209-220. DOI: 10.1007/Bf01609847  0.499
1976 Aizenman M, Gallavotti G, Goldstein S, Lebowitz JL. Stability and equilibrium states of infinite classical systems Communications in Mathematical Physics. 48: 1-14. DOI: 10.1007/Bf01609407  0.498
1975 Aizenman M, Goldstein S, Lebowitz JL. Ergodic properties of an infinite one dimensional hard rod system Communications in Mathematical Physics. 39: 289-301. DOI: 10.1007/Bf01705376  0.485
1973 Aizenman M, Gutfreund H. Momentum distribution in the Tomonaga model at finite temperatures Journal of Mathematical Physics. 15: 643-647. DOI: 10.1063/1.1666700  0.312
Show low-probability matches.