3 papers
math.PR2026
-deformed polyanalytic Ginibre point processes:construction and central limit theorems for linear statistics
Yeong-Gwang Jung, Ryosuke Sato
Based on the representation theory of the -CCR algebra, we develop a representation-theoretic construction of the -deformed polyanalytic Fock spaces, their reproducing kernel…
math.PR2025
Dynamical relationship between CAR algebras and determinantal point processes: point processes at finite temperature and stochastically positive KMS systems
Ryosuke Sato
The aim of this paper is threefold. Firstly, we develop the author's previous work on the dynamical relationship between determinantal point processes and CAR algebras. Secondly, w…
math.OA2023
GICAR algebras and dynamics on determinantal point processes: discrete orthogonal polynomial ensemble case
Ryosuke Sato
It is known that determinantal point processes have an intimate relation to operator algebras. In the paper, we extend this relationship to encompass dynamical aspects. Especially,…