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Condensed Matter Seminars

ics Condensed Matter
Thursday, November 14, 2019
3:30 PM
Physics Building, Room 313
Note special room.
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 continuous-time TASEP (Totally Asymmetric Simple Exclusion Process) started from the step initial configuration. Namely, we present a continuous-time Markov process with local interactions and particle-dependent 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 discrete-space 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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