3 papers
math.PR2025
Maximal free energy of the log-gamma polymer
Guillaume Barraquand, Ivan Corwin, Evgeni Dimitrov
We prove a phase transition for the law of large numbers and fluctuations of , the maximum of the free energy of the log-gamma directed polymer with parameter , ma…
math.PR2024
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…
math.PR2024
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…