Stationary distributions and correlation inequalities for asymmetric exclusion processes

Thomas Liggett

Abstract


Original proposers of the open problem: Omer Angel, Marton Balazs, Maury Bramson, Thomas Liggett, Thomas Mountford, Timo Seppalainen
The year when the open problem was proposed: 1985, 2002, 2005, 2008
Sponsor of the submission: Pablo Ferrari - University of Buenos Aires
AMS Subject classification: 60
Status of the problem: Open


What are the non-exchangeable stationary distributions for translation invariant exclusion processes? Is negative association preserved by any asymmetric exclusion process?

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