All Title Author
Keywords Abstract

Mathematics  2008 

Almost-sure Growth Rate of Generalized Random Fibonacci sequences

DOI: 10.1214/09-AIHP312

Full-Text   Cite this paper   Add to My Lib

Abstract:

We study the generalized random Fibonacci sequences defined by their first nonnegative terms and for $n\ge 1$, $F_{n+2} = \lambda F_{n+1} \pm F_{n}$ (linear case) and $\widetilde F_{n+2} = |\lambda \widetilde F_{n+1} \pm \widetilde F_{n}|$ (non-linear case), where each $\pm$ sign is independent and either $+$ with probability $p$ or $-$ with probability $1-p$ ($0

Full-Text

comments powered by Disqus