Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scaling hypothesis for the Euclidean bipartite matching problem II.
  Correlation functions   We analyze the random Euclidean bipartite matching problem on the hypertorus
in $d$ dimensions with quadratic cost and we derive the two--point correlation
function for the optimal matching, using a proper ansatz introduced by
Caracciolo et al. to evaluate the average optimal matching cost. We consider
both the grid--Poisson matching problem and the Poisson--Poisson matching
problem. We also show that the correlation function is strictly related to the
Green's function of the Laplace operator on the hypertorus.

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The categories of this paper are: plasm-ph
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess
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The categories of this paper are: hep-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: nlin
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The categories of this paper are: q-fin
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The categories of this paper are: cs
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The categories of this paper are: ao-sci
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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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: physics