Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ergodic optimization for hyperbolic flows and Lorenz attractors   In this article we consider the ergodic optimization for hyperbolic flows and
Lorenz attractors with respect to both continuous and Holder continuous
observables. In the context of hyperbolic flows we prove that a Baire generic
subset of continuous observables have a unique maximizing measure, with full
support and zero entropy, and that a Baire generic subset of Holder continuous
observables admit a unique and periodic maximizing measure. These results rely
on a relation between ergodic optimization for suspension semiflows and ergodic
optimization for the Poincar\'e map with respect to induced observables, which
allow us to reduce the problem for the context of maps. Using that
singular-hyperbolic attractors are approximated by hyperbolic sets, we obtain
related results for geometric Lorenz attractors.

37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol