SATO Ryosuke Assistant Professor

Analysis

Organization
Department of Mathematics
Research Interest
Probability theory, Operator algebra theory, Representation theory
Keywords
Asymptotic representation theory, Integrable probability theory, Quantum groups, Point processes

Research Activities

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.

Papers:

  • 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).

WebPage

Link

contact

r.sato（at）math.sci.hokudai.ac.jp