Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the connection between a skew product IFS and the ergodic
  optimization for a finite family of potentials   We study a skew product IFS on the cylinder defined by Baker-like maps
associated to a finite family of potential functions and the doubling map. We
show that there exist a compact invariant set with attractive behavior and a
random SRB measure whose support is in that set. We also study the IFS ergodic
optimization problem for that finite family of potential functions and
characterize the maximizing measures and the critical value through a
discounting limit. This shows the connection between this maximization problem
and the superior boundary of the compact invariant set, which is described as a
graph of the solution of the Bellman equation.

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The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: stat
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The categories of this paper are: math-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: q-alg
29
The categories of this paper are: funct-an