Conservation operator processes from asymptotic representation theory and their CLT
Probability
2025-11-04 v1 Operator Algebras
Representation Theory
Abstract
In this paper, we examine applications of the theory of operator-valued processes to algebraic methods in probability theory. We show a central limit theorem for general conservation operator processes. Utilizing this, we analyze the asymptotic behavior of processes derived from unitary groups and quantum unitary groups as their ranks tend to infinity, thereby providing applications of asymptotic representation theory.
Cite
@article{arxiv.2511.01207,
title = {Conservation operator processes from asymptotic representation theory and their CLT},
author = {Ryosuke Sato},
journal= {arXiv preprint arXiv:2511.01207},
year = {2025}
}
Comments
15 pages