Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Master Teapots and Entropy Algorithms for the Mandelbrot Set   We construct an analogue of W. Thurston's "Master teapot" for each principal
vein in the Mandelbrot set, and generalize geometric properties known for the
corresponding object for real maps. In particular, we show that eigenvalues
outside the unit circle move continuously, while we show "persistence" for
roots inside the unit circle. As an application, this shows that the outside
part of the corresponding "Thurston set" is path connected. In order to do
this, we define a version of kneading theory for principal veins, and we prove
the equivalence of several algorithms that compute the core entropy.

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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con
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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-th
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The categories of this paper are: solv-int
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The categories of this paper are: stat
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The categories of this paper are: comp-gas
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The categories of this paper are: q-bio
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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: math-ph
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The categories of this paper are: adap-org
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The categories of this paper are: q-alg
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The categories of this paper are: nlin