Mathematics – Probability
Scientific paper
2008-04-15
Annales de l'IHP - Probabilit\'es et Statistiques 46, 1 (2010) 135-158
Mathematics
Probability
Scientific paper
10.1214/09-AIHP312
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
Janvresse Élise
La Rue Thierry de
Rittaud Benoît
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