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Ivan Corwin from Columbia University and the Clay Mathematics Institute

Friday, October 16, 2015 - 2:30pm
SIG 225

A Drunk Walk in a Drunk World

Ivan Corwin from Columbia University and the Clay Mathematics Institute


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 this talk we will describe the effect of this random environment on a random walk, in particular focusing on a new connection to the Kardar-Parisi-Zhang universality class and to the theory of quantum integrable systems. No prior knowledge or background will be expected.

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