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01 03 im noticia SeminarioProbabilidade

Título: Cutoff and mixing times for exclusion processes with open boundaries
Palestrante: Nina Gantert, Technical University of Munich

Data: 02/03/2021
Horário: 13:30h
Local: Transmissão online

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Resumo: We study mixing times of the symmetric and asymmetric simple exclusion process on the segment where particles are allowed to enter and exit at the endpoints. We consider different regimes depending on the entering and exiting rates as well as on the rates in the bulk, and show that the process exhibits pre-cutoff and in some cases cutoff. Our main contribution is to study mixing times for the asymmetric simple exclusion process with open boundaries. We show that the order of the mixing time can be linear or exponential in the size of the segment depending on the choice of the boundary parameters, proving a striking different (and richer) behavior for the simple exclusion process with open boundaries than to the closed segment. In our arguments, we combine coupling, second class particle and censoring techniques together with current estimates. A novel idea is the use of special multi-species particle arguments, where the particles only obey a partial ordering. The talk is based on joint work with Evita Nestoridi (Princeton) and Dominik Schmid (Munich).

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ID da reunião: 958 0581 3232

 

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