Non-intersecting Path Constructions for TASEP with Inhomogeneous Rates and the KPZ Fixed Point
Non-intersecting Path Constructions for TASEP with Inhomogeneous Rates and the KPZ Fixed Point
We consider a discrete-time TASEP, where each particle jumps according to Bernoulli random variables with particle-dependent and time-inhomogeneous parameters. We use the combinatorics of the Robinson-Schensted-Knuth correspondence and certain intertwining relations to express the transition kernel of this interacting particle system in terms of ensembles of weighted, non-intersecting lattice paths …