Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A stationary phase type estimate   The purpose of this note is to prove a stationary phase estimate well adapted
to parameter dependent phases. In particular, no discussion is made on the
positions (and behaviour) of critical points, no lower or upper bound on the
gradient of the phase is assumed, and the dependence of the constants with
respect to derivatives of the phase and symbols is explicit.

25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an