Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Invariant measures for interval maps without Lyapunov exponents   We construct an invariant measure for a piecewise analytic interval map whose
Lyapunov exponent is not defined. Moreover, for a set of full measure, the
pointwise Lyapunov exponent is not defined. This map has a Lorenz-like
singularity and non-flat critical points.

3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org