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Walsh Diffusions

Andrey Sarantsev, University of California at Santa Barbara
Monday, March 27, 2017 - 2:30pm to 3:20pm
THO 235

A Walsh diffusion behaves as a one-dimensional SDE on each ray from the origin. As it hits the origin, it randomly chooses the new direction, independently of the past. We study properties of this process, including ergodic properties and explicit form of the stationary distribution. Joint work with Tomoyuki Ichiba.

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