Title

Markov transition matrices and Fibonacci numbers

Date of Award

2007

Degree Type

Thesis

Department

Mathematics and Statistics

Rights

CC BY-NC-ND 4.0

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.