Ivan Corwin

In a simple symmetric random walk on Z a particle jumps left or right with 50% chance independently at each time and space location. What if the jump probabilities are taken to be random themselves (e.g. uniformly distributed between 0% and 100%)? In...

Many important models in integrable probability (e.g. the KPZ equation, solvable directed polymers, ASEP, stochastic six vertex model) can be embedded into Gibbisan line ensembles. This hidden probabilistic structure provides new tools to control the...

This is a continuation of the the first lecture given on Monday. See here for more details