Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: TASEP fluctuations with soft-shock initial data   We consider the totally asymmetric simple exclusion process with
\emph{soft-shock} initial particle density, which is a step function increasing
in the direction of flow and the step size chosen small to admit KPZ scaling.
The initial configuration is deterministic and the dynamics create a shock.
  We prove that the fluctuations of a particle at the macroscopic position of
the shock converge to the maximum of two independent GOE Tracy-Widom random
variables, which establishes a conjecture of Ferrari and Nejjar. Furthermore,
we show the joint fluctuations of particles near the shock are determined by
the maximum of two lines described in terms of these two random variables. The
microscopic position of the shock is then seen to be their difference.
  Our proofs rely on determinantal formulae and a novel factorization of the
associated kernels.

33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph