Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A statistical view on the conjecture of Lang about the canonical height
  on elliptic curves   We adopt a statistical point of view on the conjecture of Lang which predicts
a lower bound for the canonical height of non-torsion rational points on
elliptic curves defined over $\mathbb{Q}$. More specifically, we prove that
among the family of all elliptic curves defined over $\mathbb{Q}$ and having
positive rank, there is a density one subfamily of curves which satisfy a
strong form of Lang's conjecture.

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The categories of this paper are: physics
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The categories of this paper are: stat
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The categories of this paper are: econ
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The categories of this paper are: acc-phys
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The categories of this paper are: cmp-lg
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The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: ao-sci
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The categories of this paper are: q-bio
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The categories of this paper are: cs
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-ex
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The categories of this paper are: comp-gas