4 papers
One-point fluctuations for exponential last passage percolation under upper-tail conditioning
Jinho Baik, Tejaswi Tripathi
We study exponential directed last passage percolation conditioned on the last passage time to a specified macroscopic point being atypically large. We determine the one-point fluc…
Pinched-up periodic KPZ fixed point
Jinho Baik, Zhipeng Liu
The periodic KPZ fixed point is the conjectural universal limit of the KPZ universality class models on a ring when both the period and time critically tend to infinity. For the ca…
Facilitated exclusion process
Jinho Baik, Guillaume Barraquand, Ivan Corwin +1
We study the Facilitated TASEP, an interacting particle system on the one dimensional integer lattice. We prove that starting from step initial condition, the position of the right…
Pfaffian Schur processes and last passage percolation in a half-quadrant
Jinho Baik, Guillaume Barraquand, Ivan Corwin +1
We study last passage percolation in a half-quadrant, which we analyze within the framework of Pfaffian Schur processes. For the model with exponential weights, we prove that the f…