Guillaume Barraquand -- Columbia University -- Research
Probability theory and Mathematical Physics:
KPZ universality class, integrable probability, interacting particle systems, random directed polymers, random walks in random environment, random matrix theory, symmetric functions.
Publications and preprints
Facilitated exclusion processes, with Jinho Baik, Ivan Corwin and Toufic Suidan, preprint. [Arxiv:1707.01923]
Stochastic six-vertex model in a half-quadrant and half-line open ASEP, with Alexei Borodin, Ivan Corwin and Michael Wheeler, preprint. [Arxiv:1704.04309]
Pfaffian Schur processes and last passage percolation in a half-quadrant, with Jinho Baik, Ivan Corwin and Toufic Suidan, to appear in Annals of Probability. [Arxiv:1605.00525]
Some integrable models in the KPZ universality class, PhD thesis, defended in June 2015 under the supervision of Sandrine Péché.
Random-walk in Beta-distributed random environment , with Ivan Corwin, Probability Theory and Related Fields. (2017) 167:1057. [Arxiv:1503.04117]
The q-Hahn asymmetric exclusion process, with Ivan Corwin, Annals of Applied Probability 26 (2016), no. 4, 2304-2356. [Arxiv:1501.03445]
A phase transition for q-TASEP with a few slower particles,
Stochastic Processes and their Applications 125 (2015), 2674-2699. [ArXiv:1404.7409]
A short proof of a symmetry identity for the q-Hahn distribution, Electron. Commun. Probab. 19 (2014), no. 50, 1–3. [ArXiv:1404.4265]
ASEP and KPZ equation in a half-space
Fluctuations of the first particle in exclusion processes
slides, video .
On some integrable models in the KPZ universality class, PhD defense
Random walks in Beta-distributed random environment
KPZ scaling theory for integrable exclusion processes