# Mathematical Sciences Research Institute

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# Seminar

Invariant Measures for Multilane Exclusion Process November 05, 2021 (11:00 AM PDT - 12:00 PM PDT)
Parent Program: Universality and Integrability in Random Matrix Theory and Interacting Particle Systems MSRI: Simons Auditorium, Online/Virtual
Speaker(s) Ellen Saada (Centre National de la Recherche Scientifique (CNRS))
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#### Invariant Measures For Multilane Exclusion Process

Abstract/Media

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We consider the simple exclusion process on $\Z\times\{0,1\}$, that is,  an horizontal  ladder'' composed of $2$ lanes. Particles can jump according to a lane-dependent translation-invariant nearest neighbour jump kernel, i.e. horizontally'' along each lane, and vertically'' along the scales of the ladder. We analyze the set of extremal invariant measures for this model. (Joint work with Gidi Amir, Christophe Bahadoran and Ofer Busani. ArXiv : 2105.12974

 Invariant Measures for Multilane Exclusion Process 4.28 MB application/pdf