Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Renormalization and conjugacy of piecewise linear Lorenz maps   For each piecewise linear Lorenz map that expand on average, we show that it
admits a dichotomy: it is either periodic renormalizable or prime. As a result,
such a map is conjugate to a $\beta$-transformation.

35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con