Jason Murcko
Harvey Mudd College Mathematics 2005
| Thesis Advisor: | Prof. Henry A. Krieger |
|---|---|
| Second Reader: | Prof. Lesley A. Ward |
| E-Mail: | jmurcko@hmc.edu |
| Documents: | Thesis Proposal |
| 10-Minute Fall Presentation | |
| 20-Minute Fall Presentation | |
| Revised Problem Statement | |
| Annotated Bibliography | |
| Mid-year Report | |
| Project Days Presentation | |
| Project Days Poster | |
| Final Thesis |
Cesaro Limits of Analytically Perturbed Stochastic Matrices
Let P(&epsilon) be an analytic perturbation of a stochastic matrix P0 which remains stochastic for all sufficiently small positive &epsilon . We investigate the hybrid Cesaro limit of P(&epsilon), focusing on extending past results of Filar, Krieger, and Syed to the case where P0 has eigenvalues on the unit circle in the complex plane other than 1. (The hybrid Cesaro limit is related to the continuity of the long-term behavior of the associated perturbed Markov chain at &epsilon = 0.)