Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Iterating random functions on a finite set   Let f_1,f_2,..., be functions chosen independently and uniformly from the set
of all functions from a set of cardinality n into itself. Let g_t be the
composition of the first t functions, and let T be the smallest t for which g_t
is constant. We find the limiting distribution of T/n, as n --> infinity.

15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics