Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A $q$-deformation of the symplectic Schur functions and the Berele
  insertion algorithm   A randomisation of the Berele insertion algorithm is proposed, where the
insertion of a letter to a symplectic Young tableau leads to a distribution
over the set of symplectic Young tableaux. Berele's algorithm provides a
bijection between words from an alphabet and a symplectic Young tableau along
with a recording oscillating tableau. The randomised version of the algorithm
is achieved by introducing a parameter $0 < q < 1$. The classic Berele
algorithm corresponds to letting the parameter $q \to 0$. The new version
provides a probabilistic framework that allows to prove Littlewood-type
identities for a $q$-deformation of the symplectic Schur functions. These
functions correspond to multilevel extensions of the continuous $q$-Hermite
polynomials. Finally, we show that when both the original and the $q$-modified
insertion algorithms are applied to a random word then the shape of the
symplectic Young tableau evolves as a Markov chain on the set of partitions.

32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph