Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Epsilon-neighborhoods of orbits and formal classification of parabolic
  diffeomorphisms   In this article we study the dynamics generated by germs of parabolic
diffeomorphisms f : (C; 0)->(C; 0) tangent to the identity. We show how formal
classification of a given parabolic diffeomorphism can be deduced from the
asymptotic development of what we call directed area of the
epsilon-neighborhood of any orbit near the origin. Relevant coefficients and
constants in the development have a geometric meaning. They present fractal
properties of the orbit, namely its box dimension, Minkowski content and what
we call residual content.

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The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
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The categories of this paper are: eess
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The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
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The categories of this paper are: stat
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The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics