Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On "observable" Li-Yorke tuples for interval maps   In this paper we study the set of Li-Yorke $d$-tuples and its $d$-dimensional
Lebesgue measure for interval maps $T\colon [0,1] \to [0,1]$. If a
topologically mixing $T$ preserves an absolutely continuous probability measure
9with respect to Lebesgue), then the $d$-tuples have Lebesgue full measure, but
if $T$ preserves an infinite absolutely continuous measure, the situation
becomes more interesting. Taking the family of Manneville-Pomeau maps as
example, we show that for any $d \ge 2$, it is possible that the set of
Li-Yorke $d$-tuples has full Lebesgue measure, but the set of Li-Yorke
$d+1$-tuples has zero Lebesgue measure.

28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an