| ID | 68615 |
| フルテキストURL | |
| 著者 |
Nakagawa, Yuto
Mathematical Institute, Tohoku University
Nakano, Fumihiko
Mathematical Institute, Tohoku University
|
| 抄録 | K. Brown [1] studied the random to top shuffle (the Tsetlin libary) by semigroup method. In this paper, (i) we extend his results to the colored permutation groups, and (ii) we consider a q-analogue of Tsetlin library which is different from what is studied in [1]. In (i), the results also extends those results for the top to random shuffle [4],[5], [6] to arbitrary distribution of choosing cards, but we still have derangement numbers in the multiplicity of each eigenvalues. In (ii), a version of q-analogue of derangement numbers by Chen-Rota [3] appears in the multiplicity of eigenvalues.
|
| キーワード | Tsetlin library
Left Regular Band
colored permutation group
|
| 備考 | Mathematics Subject Classification. Primary 35C07; Secondary 35K57.
|
| 発行日 | 2025-01
|
| 出版物タイトル |
Mathematical Journal of Okayama University
|
| 巻 | 67巻
|
| 号 | 1号
|
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University
|
| 開始ページ | 133
|
| 終了ページ | 147
|
| ISSN | 0030-1566
|
| NCID | AA00723502
|
| 資料タイプ |
学術雑誌論文
|
| 言語 |
英語
|
| 著作権者 | Copyright ©2025 by the Editorial Board of Mathematical Journal of Okayama University
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| 論文のバージョン | publisher
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| 査読 |
有り
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| Submission Path | mjou/vol67/iss1/7
|
