Conservation operator processes from asymptotic representation theory and their CLT
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909883024015360 |
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| author | Sato, Ryosuke |
| author_facet | Sato, Ryosuke |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_01207 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Conservation operator processes from asymptotic representation theory and their CLT Sato, Ryosuke Probability Operator Algebras Representation Theory 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. |
| title | Conservation operator processes from asymptotic representation theory and their CLT |
| topic | Probability Operator Algebras Representation Theory |
| url | https://arxiv.org/abs/2511.01207 |