Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic analysis of the cyclic structure of permutations   This is my dissertation. Its research object is a symmetric group of
permutations acting on a finite set. The density of permutations with a given
cycle structure pattern is explored when the group order tends to infinity. New
and sharper asymptotic formulas are obtained. The latter are applied in
approximations of the cycle vector distribution of a random permutation. The
saddle-point method, Lagrange-B\"urmann inversion formula, Laplace
transformations, and other techniques of complex analysis are applied.

29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con