Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic expansion of the mean-field approximation   We established and estimate the full asymptotic expansion in integer powers
of 1 N of the [ $\sqrt$ N ] first marginals of N-body evolutions lying in a
general paradigm containing Kac models and non-relativistic quantum evolution.
We prove that the coefficients of the expansion are, at any time, explicitly
computable given the knowledge of the linearization on the one-body meanfield
kinetic limit equation. Instead of working directly with the corresponding
BBGKY-type hierarchy, we follows a method developed in [22] for the meanfield
limit, dealing with error terms analogue to the v-functions used in previous
works. As a by-product we get that the rate of convergence to the meanfield
limit in 1 N is optimal.

21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph