Sponsored by the UW Department of Mathematics and the Pacific Institute for the Mathematical Sciences.
October 16, 2015 at 2:30pm SIG 225 

Ivan Corwin Columbia University and the Clay Mathematics Institute 
A Drunk Walk in a Drunk World 
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 KardarParisiZhang universality class and to the theory of quantum integrable systems. No prior knowledge or background will be expected. 

October 2, 2015 at 2:30pm SIG 225 

Amnon Yekutieli Ben Gurion University 
Nonabelian Multiplicative Integration on Surfaces 
Nonabelian multiplicative integration on curves is a classical theory, going back to Volterra in the 19th century. In differential geometry this operation can be interpreted as the holonomy of a connection along a curve. In probability theory this is a continuoustime Markov process. 
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