Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Ergodic Hypothesis   In this paper The Ergodic Hypothesis is proven for one class of functions
defined in the infinite dimensional unite cube where is given an action of some
semigroup of mappings without the condition on metric transitivity. The result
has not a finite analog.

17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph