Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multifractal analysis of the irregular set for almost-additive sequences
  via large deviations   In this paper we introduce a notion of free energy and large deviations rate
function for asymptotically additive sequences of potentials via an
approximation method by families of continuous potentials. We provide estimates
for the topological pressure of the set of points whose non-additive sequences
are far from the limit described through Kingman's sub-additive ergodic theorem
and give some applications in the context of Lyapunov exponents for
diffeomorphisms and cocycles, and Shannon-McMillan-Breiman theorem for Gibbs
measures.

12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat