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Michael Aizenman

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by means of which he was able to solve several long open important problems concerning critical phenomena, phase transitions, and
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American - Israeli who was born in Russia. He was an undergraduate at the
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Random Operators: Disorder Effects on Quantum Spectra and Dynamics
347:(1974–75), and Princeton University (1975–1977), with 568: 375:
as professor of mathematics and physics. He was several times a
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Members of the United States National Academy of Sciences
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for "his outstanding contribution of original and non-
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Institute for Advanced Study: A Community of Scholars
531:"Michael Aizenman's publications on Google Scholar" 291:in three and more dimensions; the sharpness of the 670:Courant Institute of Mathematical Sciences faculty 690:Courant Institute of Mathematical Sciences alumni 616: 640:Institute for Advanced Study visiting scholars 523: 436:Dannie Heineman Prize in Mathematical Physics 237:(born 28 August 1945) is an American-Israeli 650:Fellows of the American Mathematical Society 341:Courant Institute of Mathematical Sciences 29: 431:Royal Dutch Academy of Arts and Sciences 268:The highlights of his work include: the 617: 492:Communications in Mathematical Physics 660:Hebrew University of Jerusalem alumni 477:American Academy of Arts and Sciences 327:(Belfer Graduate School of Science), 112:American Academy of Arts and Sciences 635:21st-century American mathematicians 630:20th-century American mathematicians 537: 390: 323:. He was awarded his PhD in 1975 at 13: 486:During 2001-2012 he served as the 355:at Princeton. In 1982 he moved to 14: 711: 594: 655:21st-century American physicists 307:in two-dimensional percolation. 497: 562: 321:Hebrew University of Jerusalem 16:American-Israeli mathematician 1: 610:Mathematics Genealogy Project 516: 385:Weizmann Institute of Science 645:Princeton University faculty 473:National Academy of Sciences 465:UniversitĂ© de Cergy-Pontoise 381:Institute for Advanced Study 310: 105:National Academy of Sciences 7: 471:(2018), and is a member of 367:. In 1987 he moved to the 249:, working in the fields of 10: 716: 675:Rutgers University faculty 303:; and insights concerning 281:more than three dimensions 665:Yeshiva University alumni 210: 206: 188: 175: 159: 128: 121: 90: 69: 40: 28: 21: 581:"Brouwer Medal laudatio" 411:mathematical methods in 371:and in 1990 returned to 685:Mathematical physicists 283:; a description of the 277:quantum field theories 508:, by M. Aizenman and 413:statistical mechanics 301:Schrödinger operators 255:statistical mechanics 151:Statistical mechanics 77:The Hebrew University 449:Henri PoincarĂ© Prize 417:quantum field theory 397:Norbert Wiener Prize 339:appointments at the 305:conformal invariance 251:mathematical physics 247:Princeton University 167:Princeton University 136:Mathematical physics 601:Princeton home page 361:associate professor 353:assistant professor 351:, he was appointed 345:New York University 259:functional analysis 146:Functional analysis 459:Aizenman received 357:Rutgers University 325:Yeshiva University 297:percolation theory 263:probability theory 82:Yeshiva University 680:Brouwer Medalists 481:Academia Europaea 391:Honors and awards 369:Courant Institute 232: 231: 226:/michael-aizenman 123:Scientific career 707: 606:Michael Aizenman 588: 587: 585: 577: 571: 566: 560: 559: 557: 555: 541: 535: 534: 527: 461:honorary degrees 427:Dutch Math. Soc. 401:Amer. Math. Soc. 377:visiting scholar 293:phase transition 285:phase transition 235:Michael Aizenman 228: 225: 223: 221: 219: 217: 190:Doctoral advisor 184: 54: 52: 45:Michael Aizenman 35:Aizenman in 2019 33: 23:Michael Aizenman 19: 18: 715: 714: 710: 709: 708: 706: 705: 704: 615: 614: 597: 592: 591: 583: 579: 578: 574: 567: 563: 553: 551: 543: 542: 538: 529: 528: 524: 519: 500: 488:editor-in-chief 393: 349:Elliott H. Lieb 331:, with advisor 313: 214: 202: 182: 171: 155: 117: 86: 70:Alma mater 65: 56: 55:August 28, 1945 50: 48: 47: 46: 36: 24: 17: 12: 11: 5: 713: 703: 702: 697: 692: 687: 682: 677: 672: 667: 662: 657: 652: 647: 642: 637: 632: 627: 613: 612: 603: 596: 595:External links 593: 590: 589: 572: 561: 536: 521: 520: 518: 515: 514: 513: 499: 496: 457: 456: 446: 433: 425:(2002) of the 420: 399:(1990) of the 392: 389: 365:full professor 315:Aizenman is a 312: 309: 272:of a class of 230: 229: 212: 208: 207: 204: 203: 201: 200: 194: 192: 186: 185: 179: 173: 172: 170: 169: 163: 161: 157: 156: 154: 153: 148: 143: 138: 132: 130: 126: 125: 119: 118: 116: 115: 108: 101: 94: 92: 88: 87: 85: 84: 79: 73: 71: 67: 66: 57: 44: 42: 38: 37: 34: 26: 25: 22: 15: 9: 6: 4: 3: 2: 712: 701: 700:Living people 698: 696: 693: 691: 688: 686: 683: 681: 678: 676: 673: 671: 668: 666: 663: 661: 658: 656: 653: 651: 648: 646: 643: 641: 638: 636: 633: 631: 628: 626: 623: 622: 620: 611: 607: 604: 602: 599: 598: 582: 576: 570: 565: 550: 546: 540: 532: 526: 522: 511: 507: 506: 502: 501: 495: 493: 489: 484: 482: 478: 474: 470: 466: 462: 454: 450: 447: 445: 441: 437: 434: 432: 428: 424: 423:Brouwer Medal 421: 418: 414: 410: 406: 402: 398: 395: 394: 388: 386: 382: 378: 374: 370: 366: 362: 358: 354: 350: 346: 342: 338: 334: 333:Joel Lebowitz 330: 329:New York City 326: 322: 318: 308: 306: 302: 298: 294: 290: 286: 282: 278: 275: 271: 266: 264: 260: 256: 252: 248: 244: 240: 239:mathematician 236: 227: 213: 209: 205: 199: 198:Joel Lebowitz 196: 195: 193: 191: 187: 180: 178: 174: 168: 165: 164: 162: 158: 152: 149: 147: 144: 142: 139: 137: 134: 133: 131: 127: 124: 120: 113: 109: 106: 102: 99: 98:Brouwer Medal 96: 95: 93: 89: 83: 80: 78: 75: 74: 72: 68: 64: 60: 43: 39: 32: 27: 20: 575: 564: 552:. Retrieved 548: 539: 525: 504: 498:Publications 485: 479:(2017), and 458: 409:perturbative 337:postdoctoral 314: 267: 234: 233: 160:Institutions 122: 59:Nizhny Tagil 695:1945 births 512:(AMS 2015). 467:(2009) and 463:(DHC) from 438:(2010), of 289:Ising model 141:Mathematics 619:Categories 517:References 475:(1997), 451:(2018) of 270:triviality 220:.princeton 110:Member of 103:Member of 51:1945-08-28 549:Jinfo.org 510:S. Warzel 373:Princeton 363:and then 311:Biography 243:physicist 483:(2016). 469:Technion 429:and the 335:. After 608:at the 554:21 July 379:at the 287:in the 224:/people 211:Website 317:Jewish 274:scalar 241:and a 183:(1975) 181:  177:Thesis 129:Fields 114:(2017) 107:(1997) 100:(2002) 91:Awards 63:Russia 584:(PDF) 218:.math 556:2019 453:IAMP 442:and 405:SIAM 403:and 261:and 222:.edu 41:Born 490:of 444:AIP 440:APS 359:as 343:of 295:in 279:in 245:at 216:www 621:: 547:. 494:. 419:." 387:. 265:. 257:, 253:, 61:, 586:. 558:. 533:. 455:. 53:) 49:(

Index


Nizhny Tagil
Russia
The Hebrew University
Yeshiva University
Brouwer Medal
National Academy of Sciences
American Academy of Arts and Sciences
Mathematical physics
Mathematics
Functional analysis
Statistical mechanics
Princeton University
Thesis
Doctoral advisor
Joel Lebowitz
www.math.princeton.edu/people/michael-aizenman
mathematician
physicist
Princeton University
mathematical physics
statistical mechanics
functional analysis
probability theory
triviality
scalar
quantum field theories
more than three dimensions
phase transition
Ising model

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