44 citations · 164 across the 9 of their papers we have counts for
6 papers · 1 filter
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…
Random matrix central limit theorems for nonintersecting random walks
Jinho Baik, Toufic M. Suidan
We consider nonintersecting random walks satisfying the condition that the increments have a finite moment generating function. We prove that in a certain limiting regime where the…
A Model for the Bus System in Cuernevaca (Mexico)
Jinho Baik, Alexei Borodin, Percy Deift +1
The bus transportation system in Cuernevaca, Mexico, has certain distinguished, innovative features and has been the subject of an intriguing, recent study by M. Krbalek and P. Seb…
A GUE Central Limit Theorem and Universality of Directed First and Last Passage Site Percolation
Jinho Baik, Toufic M. Suidan
We prove a GUE central limit theorem for random variables with finite fourth moment. We apply this theorem to prove that the directed first and last passage percolation problems in…
Statistical Properties of Convex Minorants of Random Walks and Brownian Motions
Toufic Suidan
This paper calculates several useful statistical properties of the convex minorant process generated by random walk processes. In particular, we calculate the statistics of the lon…