Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Holomorphic motions for unicritical correspondences   We study quasiconformal deformations and mixing properties of hyperbolic sets
in the family of holomorphic correspondences z^r +c, where r >1 is rational.
Julia sets in this family are projections of Julia sets of holomorphic maps on
C^2, which are skew-products when r is integer, and solenoids when r is
non-integer and c is close to zero. Every hyperbolic Julia set in C^2 moves
holomorphically. The projection determines a branched holomorphic motion with
local (and sometimes global) parameterisations of the plane Julia set by
quasiconformal curves.

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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph
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The categories of this paper are: stat
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-th
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: physics
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The categories of this paper are: alg-geom
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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: cs
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The categories of this paper are: dg-ga