Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Correlation functions of the shifted Schur measure   The shifted Schur measure introduced by Tracy and Widom is a measure on the
set of all strict partitions, which is defined by Schur $Q$-functions. The main
aim of this paper is to calculate the correlation function of this measure,
which is given by a pfaffian. As an application, we prove that a limit
distribution of $\lambda_j$'s with respect to a shifted version of the
Plancherel measure for symmetric groups is identical with the corresponding
distribution of the original Plancherel measure. Further we give expressions of
the mean value and the variance of the size of a partition with respect to the
measure defined by Hall-Littlewood functions.

11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat