Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Canonical heights and entropy in arithmetic dynamics   A system of transformations is associated to a rational point on an elliptic
curve. The sequence entropy is connected to the canonical height, and in some
cases there is a canonically defined quotient system whose entropy is the
canonical height and for which the fibre entropy is accounted for by local
heights at primes of bad reduction. The proofs use transcendence theory and a
strong form of Siegel's theorem. We go on to extend these ideas to the morphic
heights of Call and Goldstine.

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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
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The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
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The categories of this paper are: stat
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
5
The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg