Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A remark on normalizations in a local principle of large deviations   This work is a continuation of [7]. We consider a continuous-time
birth-and-death process in which the transition rates have an asymptotical
power-law dependence upon the position of the process. We establish rough
exponential asymptotic for the probability that a sample path of a normalized
process lies in a neighborhood of a given nonnegative continuous function. We
propose a variety of normalization schemes for which the large deviation
functional preserves its natural integral form.

1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol