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- W2980968980 abstract "We study growth rates of random Fibonacci sequences of a particular structure. A random Fibonacci sequence is an integer sequence starting with $1,1$ where the next term is determined to be either the sum or the difference of the two preceding terms where the choice of taking either the sum or the difference is chosen randomly at each step. In 2012, McLellan proved that if the pluses and minuses follow a periodic pattern and $G_n$ is the $n$th term of the resulting random Fibonacci sequence, then begin{equation*} lim_{nrightarrowinfty}|G_n|^{1/n} end{equation*} exists. We extend her results to recurrences of the form $G_{m+2} = alpha_m G_{m+1} pm G_{m}$ if the choices of pluses and minuses, and of the $alpha_m$ follow a balancing word type pattern." @default.
- W2980968980 created "2019-10-25" @default.
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- W2980968980 date "2019-10-17" @default.
- W2980968980 modified "2023-09-27" @default.
- W2980968980 title "Random Fibonacci sequences from balancing words" @default.
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