Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Solvable models in the KPZ class: approach through periodic and free
  boundary Schur measures   We explore probabilistic consequences of correspondences between
$q$-Whittaker measures and periodic and free boundary Schur measures
established by the authors in the recent paper [arXiv:2106.11922]. The result
is a comprehensive theory of solvability of stochastic models in the KPZ class
where exact formulas descend from mapping to explicit determinantal and
pfaffian point processes. We discover new variants of known results as
determinantal formulas for the current distribution of the ASEP on the line and
new results such as Fredholm pfaffian formulas for the distribution of the
point-to-point partition function of the Log Gamma polymer model in half space.
In the latter case, scaling limits and asymptotic analysis allow to establish
Baik-Rains phase transition for height function of the KPZ equation on the half
line at the origin.

33
The categories of this paper are: plasm-ph
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
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org