Random walks in Beta random environment

Random walks in Beta random environment

Probability Seminar
Oct 14, 2015, 03:10 PM - 04:00 PM | 332 Evans Hall | Happening As Scheduled
Guillaume Barraquand, Department of Mathematics, Columbia
We consider a model of random walks in space-time random environment, with Beta-distributed transition probabilities. This model is exactly solvable, in the sense that the law of the (finite time) position of the walker can be completely characterized by Fredholm determinantal formulas. This enables to prove a limit theorem towards the Tracy-Widom distribution for the second order corrections to...