Wednesday, August 21, 2024 - 09:00 in Zoom
Stochastic dynamics on DPPs from the viewpoint of operator algebras
A talk in the Seminar Zufallsmatrizen series by
Ryosuke Sato from Chuo University
| Abstract: |
Determinantal point processes (DPPs) are mathematical models of random interacting particles by repulsive forces, and they appear in various fields, such as statistical mechanics, random matrix theory, representation theory, and combinatorics. In particular, within the context of representation theory, DPPs on a discrete space are well studied. Moreover, it is known that operator algebras, called CAR algebras, and their special linear functionals, called gauge-invariant quasi-free states, give rise to discrete DPPs. In this talk, we will develop the relationship between DPPs and operator algebra theory and discuss how dynamics on operator algebras give rise to stochastic dynamics on DPPs.
Within the CRC this talk is associated to the project(s): C6 |
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