Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On cusps and flat tops   We develop non-invertible Pesin theory for a new class of maps called cusp
maps. These maps may have unbounded derivative, but nevertheless verify a
property analogous to $C^{1+\epsilon}$. We do not require the critical points
to verify a non-flatness condition, so the results are applicable to
$C^{1+\epsilon}$ maps with flat critical points. If the critical points are too
flat, then no absolutely continuous invariant probability measure can exist.
This generalises a result of Benedicks and Misiurewicz.

28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat