Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local analytic conjugacy of resonant analytic mappings in two variables,
  in the non-archimedean setting   In this note, we consider locally invertible analytic mappings in two
dimensions, with coefficients in a non-archimedean field. Suppose such a map
has a Jacobian with eigenvalues $\lambda_1$ and $\lambda_2$ so that
$|\lambda_1|>1$ and $\lambda_2$ is a positive power of $\lambda_1$, or that
$\lambda_1=1$ and $|\lambda_2|\neq 1$. We prove that two formal maps with
eigenvalues satisfying either of these conditions are analytically equivalent
if and only if they are formally equivalent.

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The categories of this paper are: hep-ph
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
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The categories of this paper are: q-bio
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The categories of this paper are: plasm-ph
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The categories of this paper are: cs
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The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
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The categories of this paper are: cmp-lg
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The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: eess
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The categories of this paper are: cond-mat
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The categories of this paper are: adap-org