Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Benjamini-Schramm convergence and the distribution of chromatic roots
  for sparse graphs   We define the chromatic measure of a finite simple graph as the uniform
distribution on its chromatic roots. We show that for a Benjamini-Schramm
convergent sequence of finite graphs, the chromatic measures converge in
holomorphic moments.
  As a corollary, for a convergent sequence of finite graphs, we prove that the
normalized log of the chromatic polynomial converges to an analytic function
outside a bounded disc. This generalizes a recent result of Borgs, Chayes, Kahn
and Lov\'asz, who proved convergence at large enough positive integers and
answers a question of Borgs.
  Our methods also lead to explicit estimates on the number of proper colorings
of graphs with large girth.

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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
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The categories of this paper are: q-bio
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The categories of this paper are: econ
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-ex