Continuous multiline queues and the TASEP on a ring
Abstract.
I will discuss a distribution on finite number of labelled particles on a continuous ring. It
arises in three different ways, all related to the multi-type TASEP on a ring. I will present
several conjectures about properties of this distribution for which we can only prove some
special cases. One such conjecture is for the probability density function and another is a
conjecture for the probability of two particles i, j being next to each other on the cycle.