Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Transition to Shocks in TASEP and Decoupling of Last Passage Times   We consider the totally asymmetric simple exclusion process in a critical
scaling parametrized by $a\geq0$, which creates a shock in the particle density
of order $aT^{-1/3},$ $T$ 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 $\lim_{a \to \infty}\lim_{T \to \infty}$ one recovers the
product limit law and the degeneration of the correlation length observed at
shocks of order $1$. This result is shown to apply to a general last-passage
percolation model. We also obtain bounds on the two-point functions of several
$\mathrm{Airy}$ processes.

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The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ