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Asymptotic behavior and the moderate deviation principle for the maximum of a Dyck path

✍ Scribed by Termeh Kousha


Book ID
116890364
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
222 KB
Volume
82
Category
Article
ISSN
0167-7152

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On the asymptotic behavior and periodic
✍ Ali Gelişken; Cengiz Γ‡inar; Abdullah SelΓ§uk Kurbanli πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 376 KB

In this paper, we investigate the asymptotic behavior and periodic nature of positive solutions of the difference equation where A β‰₯ 0 and 0 ≀ Ξ± ≀ 1. We prove that every positive solution of this difference equation approaches x = 1 or is eventually periodic with a period 2, 3 or 4.