SATO Ryosuke
Assistant Professor
Exploring probabilistic phenomena through the lens of algebras
Department of Mathematics, Mathematics
| Theme | I investigate probability theory related to various topics in mathematics and mathematical physics from the perspective of operator algebra theory and representation theory. I am especially interested in probability theory on dual spaces of groups and quantum groups. |
| Field | Probability theory, Operator algebra theory, Representation theory |
| Keyword | Asymptotic representation theory, Integrable probability theory, Quantum groups, Point processes |
Introduction of Research
Relying on operator algebra theory and representation theory, I study probability theory related to various topics. In particular, I am interested in the probability theory on the dual spaces of groups and quantum groups. I think that such a research topic is quite attractive because of the intertwining ideas of algebra and analysis. I also use special functions originating from representation theory.
Representative Achievements
R. Sato, Quantized Vershik--Kerov theory and quantized central measures on branching graphs, Journal of Functional Analysis 277 .8 (2019), 2522-2557.
R. Sato, Type classification of extremal quantized characters, Ergodic Theory and Dynamical Systems, 41.2 (2021), 593-605.
R. Sato, Multiplicative characters and Gaussian fluctuation limits, SIGMA 19 (2023), 072.
R. Sato, GICAR algebras and dynamics on determinantal point processes: discrete orthogonal polynomial ensemble case, Communications in Mathematical Physics 405.115 (2024).
