Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unique ergodicity of asynchronous rotations, and application   The main result of this paper is an analogue for a continuous family of tori
of Kronecker-Weyl's unique ergodicity of irrational rotations. We show that the
notion corresponding in this setup to irrationality, namely asynchronicity, is
satisfied in some homogeneous dynamical systems. This is used to prove the
ergodicity of naturals lifts of invariant measures.

10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
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The categories of this paper are: eess
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The categories of this paper are: econ
23
The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an