Long time ago I studied math finishing with a PhD. While they are old and most likely not interesting for anyone here are the scientific papers (published and unpublished) that were the outcome.
A Large Deviation Principle for Polynomial Hypergroups was published in the Journal of the Lonfdon Mathematical Society.
Large Deviations on One Dimensional Hypergroups
Local limit_theorems for Markov chains associated with disk polynomials
Local limit theorems for Markov chains on a class_of_polynomial_hypergroups
My PhD Thesis in German