Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A counterexample to the monotone increasing behavior of an
  Alt-Caffarelli-Friedman formula in the Heisenberg group   In this paper we provide a counterexample about the existence of an
increasing monotonicity behavior of a function introduced in \cite{FeFo},
companion of the celebrated Alt-Caffarelli-Friedman monotonicity formula, in
the noncommutative framework.

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The categories of this paper are: hep-ph
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The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex
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The categories of this paper are: eess
34
The categories of this paper are: chem-ph
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The categories of this paper are: stat
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The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: cond-mat
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The categories of this paper are: gr-qc