Almost-sure growth rate of generalized random Fibonacci sequences

DOI10.1214/09-AIHP312zbMath1201.37091arXiv0804.2378MaRDI QIDQ974773

Benoît Rittaud, Élise Janvresse, Thierry De La Rue

Publication date: 7 June 2010

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.2378

zbMATH Keywords

Lyapunov exponentrandom Fibonacci sequenceRosen continued fraction

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Continued fractions and generalizations (11J70) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15)

Related Items

Periodic coefficients and random Fibonacci sequences ⋮ Generalised Fibonacci sequences constructed from balanced words ⋮ Lyapunov exponent and variance in the CLT for products of random matrices related to random Fibonacci sequences ⋮ The n-dimensional Stern–Brocot tree

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