Svante Linusson: Reverse juggling and a model on random matrices over a finite field

Abstract

I will describe a Markov chain model where a state is a matrix over a finite field. In each transition a new column is added to the left. This model is naturally modelled by what we call reverse juggling, and which was recently studied by Knutsen. In joint work with Arvind Ayyer, we generalise this in several ways.