Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Steep Nekhoroshev's Theorem   Revising Nekhoroshev's geometry of resonances, we provide a fully
constructive and quantitative proof of Nekhoroshev's theorem for steep
Hamiltonian systems proving, in particular, that the exponential stability
exponent can be taken to be $1/ (2n \alpha_1\cdots\alpha_{n-2}$) ($\alpha_i$'s
being Nekhoroshev's steepness indices and $n\ge 3$ the number of degrees of
freedom).

11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph