Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Invariance entropy, quasi-stationary measures and control sets   For control systems in discrete time, this paper discusses measure-theoretic
invariance entropy for a subset Q of the state space with respect to a
quasi-stationary measure obtained by endowing the control range with a
probability measure. The main results show that this entropy is invariant under
measurable transformations and that it is already determined by certain subsets
of Q which are characterized by controllability properties.

11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin