Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lebesgue spectrum of countable multiplicity for conservative flows on
  the torus   We study the spectral measures of conservative mixing flows on the 2-torus
having one degenerate singularity. We show that, for a sufficiently strong
singularity, the spectrum of these flows is typically Lebesgue with infinite
multiplicity. For this, we use two main ingredients: 1) a proof of absolute
continuity of the maximal spectral type for this class of non-uniformly
stretching flows that have an irregular decay of correlations, 2) a geometric
criterion that yields infinite Lebesgue multiplicity of the spectrum and that
is well adapted to rapidly mixing flows.

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
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an