Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local limit theory and large deviations for supercritical Branching
  processes   In this paper we study several aspects of the growth of a supercritical
Galton-Watson process {Z_n:n\ge1}, and bring out some criticality phenomena
determined by the Schroder constant. We develop the local limit theory of Z_n,
that is, the behavior of P(Z_n=v_n) as v_n\nearrow \infty, and use this to
study conditional large deviations of {Y_{Z_n}:n\ge1}, where Y_n satisfies an
LDP, particularly of {Z_n^{-1}Z_{n+1}:n\ge1} conditioned on Z_n\ge v_n.

7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn