How do random Fibonacci sequences grow?
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Publication:946491
DOI10.1007/s00440-007-0117-7zbMath1146.37035arXivmath/0611860OpenAlexW3103172527MaRDI QIDQ946491
Benoît Rittaud, Élise Janvresse, Thierry De La Rue
Publication date: 23 September 2008
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0611860
Discrete-time Markov processes on general state spaces (60J05) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Continued fractions (11A55)
Related Items (9)
Periodic coefficients and random Fibonacci sequences ⋮ Lyapunov exponents for the random product of two shears ⋮ Distribution generated by a random inhomogenous Fibonacci sequence ⋮ Expected gains in the MacQueen-Heyde model ⋮ Almost-sure growth rate of generalized random Fibonacci sequences ⋮ Numerical results on some generalized random Fibonacci sequences ⋮ Lyapunov exponent and variance in the CLT for products of random matrices related to random Fibonacci sequences ⋮ The n-dimensional Stern–Brocot tree ⋮ On the Average Growth Rate of Random Compositions of Fibonacci and Padovan Recurrences
Cites Work
- Convexity of the Lyapunov exponent
- Sur une fonction réelle de Minkowski
- A class of continued fractions associated with certain properly discontinuous groups
- Random Fibonacci sequences
- Random Fibonacci sequences and the number $1.13198824\dots$
- Noncommuting Random Products
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