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- W2620257002 abstract "We consider the totally asymmetric simple exclusion process in a critical scaling parametrized by $a geq 0$, which creates a shock in the particle density of order $a t^{-1/3}$, $t$ the observation time. When starting from step initial data, we show that, in the double limit $lim_{ a to infty}lim_{t to infty}$ we recover the product limit law and the degeneration of the correlation length observed at shocks of order 1 in cite{FN14}. This result is shown to apply to a general last-passage percolation model. We also show the decoupling of several Airy processes." @default.
- W2620257002 created "2017-06-05" @default.
- W2620257002 creator A5049926469 @default.
- W2620257002 date "2017-05-24" @default.
- W2620257002 modified "2023-09-27" @default.
- W2620257002 title "Transition to Shock Fluctuations in TASEP and Last Passage Percolation" @default.
- W2620257002 hasPublicationYear "2017" @default.
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