Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Statistical stability for robust classes of maps with non-uniform
  expansion   We consider open sets of maps in a manifold $M$ exhibiting non-uniform
expanding behaviour in some domain $S\subset M$. Assuming that there is a
forward invariant region containing $S$ where each map has a unique SRB
measure, we prove that under general uniformity conditions, the SRB measure
varies continuously in the $L^1$-norm with the map. As a main application we
show that the open class of maps introduced in [V] fits to this situation, thus
proving that the SRB measures constructed in [A] vary continuously with the
map.

5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
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The categories of this paper are: stat
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg