Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Note: Random-to-front shuffles on trees   A Markov chain is considered whose states are orderings of an underlying
fixed tree and whose transitions are local "random-to-front" reorderings,
driven by a probability distribution on subsets of the leaves. The eigenvalues
of the transition matrix are determined using Brown's theory of random walk on
semigroups.

14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con