Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mean Ergodic Shadowing   We introduce and study a new variant of shadowing namely mean ergodic
shadowing. We establish relationship of this variant with several other
variants of shadowing. We show that a minimal system with shadowing cannot have
mean ergodic shadowing. We give a necessary and sufficient condition for an
orbital limit function to have mean ergodic shadowing property.

7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int