Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sharp polynomial bounds on the number of Pollicott-Ruelle resonances   We give a sharp polynomial bound on the number of Pollicott-Ruelle
resonances. These resonances, which are complex numbers in the lower
half-plane, appear in expansions of correlations for Anosov contact flows. The
bounds follow the tradition of upper bounds on the number of scattering
resonances and improve a recent bound of Faure-Sj\"ostrand. The complex scaling
method used in scattering theory is replaced by an approach using exponentially
weighted spaces introduced by Helffer-Sj\"ostrand in scattering theory and by
Faure-Sj\"ostrand in the theory of Anosov flows.

11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio