IGOR HERBUT, Simon Fraser University
QUANTUM NUMBERS OF TOPOLOGICAL DEFECTS AND REAL CLIFFORD ALGEBRAS IN DIRAC SYSTEMS
Monday, January 21 2013, at 17:00
Università di Milano, Dipartimento di Matematica | |
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JAMES ROBINSON, Warwick University
INTERPOLATION AND LADYZHENSKAYA INEQUALITY IN A COUPLED ELLIPITIC-PARABOLIC PROBLEM
Tuesday, November 27 2012, at 17:00
Politecnico di Milano, Dipartimento di Matematica | |
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STEFANO OLLA, Ceremade, Université Paris Dauphine
DALLA DINAMICA ALLA TERMODINAMICA: E' POSSIBILE UNA DEDUZIONE MATEMATICA PRECISA?
Monday, November 26 2012, at 15:00
Università di Milano, Dipartimento di Matematica, Via Saldini | |
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ENRICO VALDINOCI, Università di Milano
A FRACTIONAL FRAMEWORK FOR PERIMETERS AND PHASE TRANSITIONS
Monday, November 05 2012, at 17:00
Dipartimento di Matematica del Politecnico, Aula Consiglio | |
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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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