Wednesday, June 2, 2021 - 09:00 in ZOOM - Video Conference
Eikonal formulation of large dynamical random matrix models
A talk in the Seminar Zufallsmatrizen series by
Maciej Nowak from Jagiellonian University, Kraków
| Abstract: |
The standard approach to dynamical random matrix models relies on the description of trajectories of eigenvalues. Using the analogy from optics, based on the duality between the Fermat principle (rays) and the Huygens principle (wavefronts), we formulate the Hamilton-Jacobi dynamics for large random matrix models, and we relate this dynamics to Voiculescu equation. The resulting formalism describes a broad class of random matric models in a unified way, including normal (Hermitian or unitary) as well as strictly non-normal dynamics. HJ formalism applied to Brownian bridge dynamics allows one for calculations of the asymptotics of the Harish-Chandra-Itzykson-Zuber integrals.
Please contact akemann@physik.uni-bielefeld.de for further information.
Within the CRC this talk is associated to the project(s): C6 |
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