Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two-point convergence of the stochastic six-vertex model to the Airy
  process   In this paper we consider the stochastic six-vertex model in the quadrant
started with step initial data. After a long time $T$, it is known that the
one-point height function fluctuations are of order $T^{1/3}$ and governed by
the Tracy-Widom distribution. We prove that the two-point distribution of the
height function, rescaled horizontally by $T^{2/3}$ and vertically by
$T^{1/3}$, converges to the two-point distribution of the Airy process. The
starting point of this result is a recent connection discovered by
Borodin-Bufetov-Wheeler between the stochastic six-vertex model and the
ascending Hall-Littlewood process (a certain measure on plane partitions).
Using the Macdonald difference operators, we obtain formulas for two-point
observables for the ascending Hall-Littlewood process, which for the six-vertex
model give access to the joint cumulative distribution function for its height
function. A careful asymptotic analysis of these observables gives the
two-point convergence result under certain restrictions on the parameters of
the model.

35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an