Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Perturbations of weakly expanding critical orbits   Let f be a polynomial or a rational function which has r summable critical
points. We prove that there exists an r-dimensional manifold in an appropriate
space containing f such that for every smooth curve in it through f, the ratio
between parameter and dynamical derivatives along forward iterates of at least
one these summable points tends to a non-zero number.

7
The categories of this paper are: hep-th
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The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat