Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analyticity of the entropy and the escape rate of random walks in
  hyperbolic groups   We consider random walks on a non-elementary hyperbolic group endowed with a
word distance. To a probability measure on the group are associated two
numerical quantities, the rate of escape and the entropy. On the set of
admissible probability measures whose support is contained in a given finite
set, we show that both quantities depend in an analytic way on the probability
measure. Our spectral techniques also give a new proof of the central limit
theorem, and imply that the corresponding variance is analytic.

35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an