Abstract
We present a class of "nice" $n\times n$ Markov probability transition matrices and infinitesimal generators whose limiting (steady state) probabilities are proportional to the first $n$ Fibonacci numbers. We extend this model to other sequences and discover some curious matrix and sequence relationships.
Citation
Myron Hlynka. Tolulope Sajobi. "A Markov Chain Fibonacci Model." Missouri J. Math. Sci. 20 (3) 186 - 199, October 2008. https://doi.org/10.35834/mjms/1316032778
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