تقرير
Enumerative Theory for the Tsetlin Library
| العنوان: | Enumerative Theory for the Tsetlin Library |
|---|---|
| المؤلفون: | Chatterjee, Sourav, Diaconis, Persi, Kim, Gene B. |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Probability, 60B15, 60J99 |
| الوصف: | The Tsetlin library is a well-studied Markov chain on the symmetric group $S_n$. It has stationary distribution $\pi(\sigma)$ the Luce model, a nonuniform distribution on $S_n$, which appears in psychology, horse race betting, and tournament poker. Simple enumerative questions, such as ``what is the distribution of the top $k$ cards?'' or ``what is the distribution of the bottom $k$ cards?'' are long open. We settle these questions and draw attention to a host of parallel questions on the extension to the chambers of a hyperplane arrangement. Comment: 23 pages, 1 figure |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2306.16521 |
| رقم الأكسشن: | edsarx.2306.16521 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |