Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sub-additive unstable topological pressure on saturated subsets   In this paper, we continue our investigation on sub-additive pressures for
$C^1$-smooth partially hyperbolic diffeomorphisms. Under the assumption of
unstable almost product property, we show that the unstable Bowen topological
pressure on the saturated set of a given non-empty compact connected set of
invariant measures equals the infimum of the summation of unstable metric
entropy and the corresponding \emph{Lyapunov exponent}, where the infimum is
taken over all invariant measures inside the compact connected set above.
Moreover, we also show that the unstable topological capacity pressure on the
saturated sets above coincide with the unstable topological pressure of the
whole system.

16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys