Záznam kolokviální přednášky - Laszlo Erdös - Universality of random matrices and log-gases |
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Kolokviální přednáška se konala ve středu 12. října 2016, v 16:00 v posluchárně M1
Laszlo Erdös (IST, Rakousko)
Universality of random matrices and log-gases
Abstract:
The Wigner-Dyson-Mehta conjecture asserts that the local eigenvalue statistics of large real and complex Hermitian matrices with independent, identically distributed entries are universal in a sense that they depend only on the symmetry class of the matrix and otherwise are independent of the details of the distribution. We present the recent solution to this half-century old conjecture. We explain how stochastic tools, such as the Dyson Brownian motion, and PDE ideas, such as De Giorgi-Nash-Moser regularity theory, were combined in the solution. We also show related results for log-gases that represent a universal model for strongly correlated systems.
Záznam přednášky ZDE
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Aktualizováno Úterý, 12 Prosinec 2017 09:06 |