# Almost-sure Growth Rate of Generalized Random Fibonacci sequences

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
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Cited literature [10 references]

https://hal.archives-ouvertes.fr/hal-00273525
Contributor : Elise Janvresse <>
Submitted on : Tuesday, April 15, 2008 - 3:10:28 PM
Last modification on : Tuesday, May 5, 2020 - 1:03:20 PM
Document(s) archivé(s) le : Thursday, May 20, 2010 - 11:22:22 PM

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### Citation

Elise Janvresse, Benoît Rittaud, Thierry de la Rue. Almost-sure Growth Rate of Generalized Random Fibonacci sequences. Annales de l'IHP - Probabilités et Statistiques, 2010, 46 (1), pp.135-158. ⟨10.1214/09-AIHP312⟩. ⟨hal-00273525⟩

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