Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Laurent Phenomenon Sequences   In this paper, we undertake a systematic study of recurrences x_{m+n}x_{m} =
P(x_{m+1}, ..., x_{m+n-1}) which exhibit the Laurent phenomenon. Some of the
most famous among these sequences come from the Somos and the Gale-Robinson
recurrences. Our approach is based on finding period 1 seeds of Laurent
phenomenon algebras of Lam-Pylyavskyy. We completely classify polynomials P
that generate period 1 seeds in the cases of n=2,3 and of mutual binomial
seeds. We also find several other interesting families of polynomials P whose
generated sequences exhibit the Laurent phenomenon. Our classification for
binomial seeds is a direct generalization of a result by Fordy and Marsh, that
employs a new combinatorial gadget we call a double quiver.

5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys