Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The cyclic sieving phenomenon on circular Dyck paths   We give a $q$-enumeration of circular Dyck paths, which is a superset of the
classical Dyck paths enumerated by the Catalan numbers. These objects have
recently been studied by Alexandersson and Panova. Furthermore, we show that
this $q$-analogue exhibits the cyclic sieving phenomenon under a natural action
of the cyclic group. The enumeration and cyclic sieving is generalized to
M\"obius paths. We also discuss properties of a generalization of cyclic
sieving, which we call subset cyclic sieving. Finally, we also introduce the
notion of Lyndon-like cyclic sieving that concerns special recursive properties
of combinatorial objects exhibiting the cyclic sieving phenomenon.

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The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
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The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph