تقرير
Enumerative Theory for the Tsetlin Library
العنوان: | Enumerative Theory for the Tsetlin Library |
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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. |