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27/06/2019, 14:00 — 15:00 — Room P3.31, Mathematics Building

Renato De Paula, *Instituto Superior Técnico*

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Matrix product ansatz for the totally asymmetric exclusion process

Generally, it is very difficult to compute nonequilibrium stationary states of a particle system. It turns out that, in some cases, you can find a solution with a quite interesting structure. The goal of this first part of the seminar is to present the structure of this solution — known as matrix product solution (or matrix product ansatz) — using the totally asymmetric exclusion process (TASEP) as a toy model.