Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Invariants of the bi-Lipschitz contact equivalence of continuous
  definable function germs   We construct an invariant of the bi-Lipschitz contact equivalence of
continuous function germs definable in a polynomially bounded o-minimal
structure, such as semialgebraic functions. For a germ $f,$ the invariant is
given in terms of the leading coefficients of the asymptotic expansions of $f$
along the connected components of the tangency variety of $f.$

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The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
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The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
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The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin