Graduation Year
2005
Document Type
Open Access Senior Thesis
Degree Name
Bachelor of Science
Department
Mathematics
Reader 1
Henry Krieger
Reader 2
Lesley Ward
Abstract
Let P(ε) = P0 + A(ε) be a stochasticity preserving analytic perturbation of a stochastic matrix P0. We characterize the hybrid Cesaro limit lim 1 N(ε) Pk(ε), ε↓0 N(ε) ∑ where N(ε) ↑ ∞ as ε ↓ 0, when P0 has eigenvalues on the unit circle in the complex plane other than 1.
Recommended Citation
Murcko, Jason, "Cesaro Limits of Analytically Perturbed Stochastic Matrices" (2005). HMC Senior Theses. 174.
https://scholarship.claremont.edu/hmc_theses/174
Picture of Jason Murcko
jmurcko-2005-prop.pdf (84 kB)
Thesis Proposal
jmurcko-2005-fall-pres-1.pdf (373 kB)
10-Minute Fall Presentation
jmurcko-2005-rev-prob.pdf (78 kB)
Revised Problem Statement
jmurcko-2005-fall-pres-2.pdf (550 kB)
20-Minute Fall Presentation
jmurcko-2005-ann-bib.pdf (37 kB)
Annotated Bibliography
jmurcko-2005-mid-year-rep.pdf (223 kB)
Mid-year Report
jmurcko-2005-proj-pres.pdf (582 kB)
Projects Day Presentation
jmurcko-2005-thesis-poster.pdf (654 kB)
Projects Day Poster