Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hausdorff dimensions of perturbations of a conformal iterated function
  system via thermodynamic formalism   We consider small perturbations of a conformal iterated function system
(CIFS) produced by either adding or removing some generators with small
derivative from the original. We establish a formula, utilizing transfer
operators arising from the thermodynamic formalism \`a la Sinai--Ruelle--Bowen,
which may be solved to express the Hausdorff dimension of the perturbed limit
set in series form: either exactly, or as an asymptotic expansion. Significant
applications include strengthening Hensley's asymptotic formula from 1992,
which improved on earlier bounds due to Jarn\'ik and Kurzweil, for the
Hausdorff dimension of the set of real numbers whose continued fraction
expansion partial quotients are all $\leq N$; as well as its counterpart for
reals whose partial quotients are all $\geq N$ due to Good from 1941.

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The categories of this paper are: chao-dyn
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The categories of this paper are: q-alg
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The categories of this paper are: q-bio
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The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: econ
0
The categories of this paper are: hep-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: astro-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ex
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The categories of this paper are: stat
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The categories of this paper are: acc-phys