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Journal article
Probabilistic consequences of some polynomial recurrences
Random structures & algorithms, v 53(4), pp 652-666
Dec 2018
Featured in Collection : UN Sustainable Development Goals @ Drexel
Abstract
In this paper, we consider sequences of polynomials that satisfy certain recurrences. Our interest is motivated by the fact that polynomials satisfying such recurrences frequently appear as generating polynomials of integer valued random variables that are of interest in discrete mathematics. In particular, we will use our approach to show that the number of diagonal boxes in symmetric tree‐like tableaux is asymptotically normal. This extends earlier results of Aval, Boussicault and Nadeau, who found the asymptotics of the expected number of diagonal boxes. Through our discussion, we establish a general framework to approach such recurrences and prompt a generalization of the probabilistic consequences of them.
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Details
- Title
- Probabilistic consequences of some polynomial recurrences
- Creators
- Paweł Hitczenko - Drexel UniversityAmanda Lohss - Messiah University
- Publication Details
- Random structures & algorithms, v 53(4), pp 652-666
- Publisher
- Wiley Periodicals, Inc
- Number of pages
- 15
- Grant note
- This research was supported by the Drexel’s Scholarly and Creative Activity Grant.
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000449519300006
- Scopus ID
- 2-s2.0-85055274815
- Other Identifier
- 991019167821604721
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Data related to this publication, from InCites Benchmarking & Analytics tool:
- Web of Science research areas
- Computer Science, Software Engineering
- Mathematics
- Mathematics, Applied