Upcoming Talks

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Transition to Shocks and Decoupling of Last Passage Times

Date: Thursday, October 12, 2017 16:00 - 18:00
Speaker: Peter Nejjar (IST Austria)
Location: Big Seminar room Ground floor / Office Bldg West (I21.EG.101)
Series: Mathematics and CS Seminar
Host: Laszlo Erdös
Lab building west seminar room

We consider the totally asymmetric simple exclusion process (TASEP) in a critical scaling parametrized by ,which creates a shock in the particle density of order , t the observation time. When starting from step initial data, we provide bounds on the limiting law which in particular imply that in the double limit one recovers the product limit law and the degeneration of the correlation length observed earlier at shocks of order 1. This result can be phrased in terms of a general last passage percolation (LPP) model, which allows us to study the decoupling of Airy processes and LPP times in the time-like direction.

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