Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the pointwise Lyapunov exponent of holomorphic maps   We prove that for any holomorphic map, and any bounded orbit which does not
accumulate to a singular set or to an attracting cycle, its lower Lyapunov
exponent is non-negative. The same result holds for unbounded orbits, for maps
with a bounded singular set. Furthermore, the orbit may accumulate to infinity
or to a singular set, as long as it is slow enough.

36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph