تقرير
Asymptotic normality of pattern occurrences in random maps
| العنوان: | Asymptotic normality of pattern occurrences in random maps |
|---|---|
| المؤلفون: | Drmota, Michael, Hainzl, Eva-Maria, Wormald, Nick |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Combinatorics, Mathematics - Probability, 05A16 05C10 05C80 |
| الوصف: | The purpose of this paper is to study the limiting distribution of special {\it additive functionals} on random planar maps, namely the number of occurrences of a given {\it pattern}. The main result is a central limit theorem for these pattern counts in the case of pattern with a simple boundary. The proof relies on a combination of analytic and combinatorial methods together with a moment method due to Gao and Wormald~\cite{GaoWormald}. It is an important issue to handle the overlap structure of two pattern which is the main difficulty in the proof. Comment: 47 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2406.05501 |
| رقم الأكسشن: | edsarx.2406.05501 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |