Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological pressure of free semigroup actions for non-compact sets and
  Bowen's equation, II   Inspired to the work of Ma and Wu\cite{Ma} and Climenhaga\cite{Climenhaga},
we introduce the new nation of topological pressure of a semigroup of maps by
using the Carath\'{e}odory-Pesin structure (C-P structure) with respect to
arbitrary subset in this paper. Moreover, by Bowen's equation, we characterize
the Hausdorff dimension of an arbitrary subset, where the points of the subset
have the positive lower Lyapunov exponents and satisfy a so called tempered
contraction condition.

37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn