Date of Completion

Spring 5-17-2019

Thesis Advisor(s)

Iddo Ben-Ari

Second Honors Major

Applied Mathematical Sciences


Dynamic Systems | Non-linear Dynamics | Numerical Analysis and Computation | Physical Sciences and Mathematics | Social Statistics


In this work we propose a reversible Markov chain scheme to model for the mobility of students affected by a grade school leveling policy. This model provides unified and mathematically tractable framework in which transition functions are sampled uniformly from the set of {\bf reversible} transition functions. The results from the study appear to confirm the disadvantageous effects of this school policy, on par with the of a previous model on the same policy.