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Condensed Matter Seminars
Condensed Matter
Thursday, November 14, 2019
3:30 PM
Physics Building, Room 313

Leonid Petrov
[Host: Marija Vucelja]
UVa, Department of Mathematics
"Mapping TASEP back in time"

ABSTRACT:
We obtain a new relation between the distributions μ_t at different times t ≥ 0 of the continuoustime TASEP (Totally Asymmetric Simple Exclusion Process) started from the step initial configuration. Namely, we present a continuoustime Markov process with local interactions and particledependent rates which maps the TASEP distributions μ_t backwards in time. Under the backwards process, particles jump to the left, and the dynamics can be viewed as a ver sion of the discretespace Hammersley process. Combined with the forward TASEP evolution, this leads to a stationary Markov dynamics preserving μ_t which in turn brings new identities for expectations with respect to μ_t. Based on a joint work with Axel Saenz.




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