THOMAS SPENCER, Institute for Advanced Study, Princeton
SYMMETRY, STATISTICAL MECHANICS AND RANDOM MATRICES
Monday, October 15 2012, at 16:30
Università di Milano, Dipartimento di Matematica, Via Saldini |
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Abstract
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The theory of random matrices appears in many parts of mathematics such as probability, statistics, quantum chaos, number theory and the spectral theory of random Schrödinger operators. This lecture will give a brief introduction to the history and conjectures of this subject. We show how certain models of statistical mechanics provide a dual representation for spectral problems in random matrix theory. This representation enables one to obtain numerous identities arising from symmetry and to apply new
tools of analysis and phase transitions. Ordered and disordered phases correspond to different spectral types and time evolution of a random matrix Hamiltonian. A particular statistical mechanics model is equivalent to a history dependent random walk which prefers to jump to vertices it has visited in the past. The phase transition for this process is reflected in a change of the long time behavior of the walk. |
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WALTER NOLL, Carnegie Mellon University
PHYSICS AND MATHEMATICS WITHOUT COORDINATES
Thursday, October 04 2012, at 17:00
Politecnico di Milano, Dipartimento di Matematica, Sala del Consiglio VII piano | |
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RONALD DEVORE, Texas A & M University
DOES IT PAY TO BE GREEDY ?
Tuesday, July 03 2012, at 16:30
Università di Milano, Dipartimento di Matematica, Via Saldini | |
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VLADIMIR MAZ YA, University of Liverpool, Department of Mathematical Sciences
HIGHER ORDER ELLIPTIC PROBLEMS IN NON-SMOOTH DOMAINS
Thursday, June 28 2012, at 17:00
Politecnico di Milano, Dipartimento di Matematica, Aula VII piano | |
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S.R.S. VARADHAN, Courant Institute of Mathematical Sciences – New York University
LARGE DEVIATION THEORY. A GENERAL SURVEY WITH SOME RECENT UNUSUAL APPLICATIONS
Wednesday, June 13 2012, at 16:30
Università di Milano, Dipartimento di Matematica, Via Saldini | |
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XENIA DE LA OSSA, University of Oxford
GEOMETRY OF HETEROTIC STRING COMPACTIFICATIONS
Friday, June 01 2012, at 17:00
Università di Milano, Dipartimento di Matematica, Via Saldini | |
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