Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generic parabolic points are isolated in positive characteristic   We study analytic germs in one variable having a parabolic fixed point at the
origin, over an ultrametric ground field of positive characteristic. It is
conjectured that for such a germ the origin is isolated as a periodic point.
Our main result is an affirmative solution of this conjecture in the case of a
generic germ with a prescribed multiplier. The genericity condition is
explicit: That the power series is minimally ramified, i.e., that the degree of
the first non-linear term of each of its iterates is as small as possible. Our
main technical result is a computation of the first significant terms of a
minimally ramified power series. From this we obtain a lower bound for the norm
of nonzero periodic points, from which we deduce our main result. As a
by-product we give a new and self-contained proof of a characterization of
minimally ramified power series in terms of the iterative residue.

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The categories of this paper are: hep-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org
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The categories of this paper are: acc-phys
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The categories of this paper are: nlin
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: hep-lat
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The categories of this paper are: chem-ph
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The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
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The categories of this paper are: supr-con