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Mathematical Physics Seminar

The Slow Bond Conjecture

Allan Sly - Princeton University

Location:  HILL 705
Date & time: Thursday, 28 September 2017 at 12:00PM - 1:00PM

Abstract: The slow bond model is a variant of the 1-dimensional Totally Asymmetric Exclusion Process, where the bond at the origin rings at a slower rate r<1.  Janowsky and Lebowitz conjectured that for all values of r<1, the single slow bond produces a macroscopic change in the current of the system.  Equivalently, this can be viewed as a pinning problem in last passage percolation.  We answer this question in the affirmative.

THERE WILL BE A BROWN BAG LUNCH FROM 1-2PM. PLEASE JOIN US.

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Department of Mathematics

Department of Mathematics
Rutgers University
Hill Center - Busch Campus
110 Frelinghuysen Road
Piscataway, NJ 08854-8019, USA

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