Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Admissibility and nonuniformly hyperbolic sets   We obtain a characterization of two classes of dynamics with nonuniformly
hyperbolic behavior in terms of an admissibility property. Namely, we consider
exponential dichotomies with respect to a sequence of norms and nonuniformly
hyperbolic sets. We note that the approach to establishing exponential bounds
along the stable and the unstable directions differs from the standard
technique of substituting test sequences. Moreover, we obtain the bounds in a
single step.

17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg