Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $L^q$-spectra of measures on planar non-conformal attractors   We study the $L^q$-spectrum of measures in the plane generated by certain
nonlinear maps. In particular we consider attractors of iterated function
systems consisting of maps whose components are $C^{1+\alpha}$ and for which
the Jacobian is a lower triangular matrix at every point subject to a natural
domination condition on the entries. We calculate the $L^q$-spectrum of
Bernoulli measures supported on such sets by using an appropriately defined
analogue of the singular value function and an appropriate pressure function.

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The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
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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: nlin
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: physics
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: bayes-an