Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multifractal analysis and large deviations of homological growth rates
  for hyperbolic surfaces   We perform a multifractal analysis of homological growth rates of oriented
geodesics on a hyperbolic surface. Our main result provides a formula for the
Hausdorff dimension of level sets of prescribed growth rates in terms of a
generalized Poincar\'e exponent of the Fuchsian group. We employ symbolic
dynamics developed by Bowen and Series, ergodic theory and thermodynamic
formalism to prove the analyticity of the dimension spectrum and the large
deviations rate function.

24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph