Title

Markov transition matrices and Fibonacci numbers

Date of Award

2007

Publication Type

Master Thesis

Department

Mathematics and Statistics

Rights

info:eu-repo/semantics/openAccess

Creative Commons License

Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.

Abstract

In this paper, we examine various classes of Markov transition matrices whose limiting probabilities is the normalized sequence of Fibonacci numbers. We investigate the various properties of these classes of matrices. In addition, general results about the class of transition matrices whose limiting probability vectors form other known sequences are presented.

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