Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Truncation of long-range percolation model with square non-summable
  interactions   We consider some problems related to the truncation question in long-range
percolation. It is given probabilities that certain long-range oriented bonds
are open; assuming that this probabilities are not summable, we ask if the
probability of percolation is positive when we truncate the graph, disallowing
bonds of range above a possibly large but finite threshold. This question is
still open if the set of vertices is $\Z^2$. We give some conditions in which
the answer is affirmative. One of these results generalize the previous result
in [Alves, Hil\'ario, de Lima, Valesin, Journ. Stat. Phys. {\bf 122}, 972
(2017)].

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The categories of this paper are: astro-ph
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The categories of this paper are: math-ph
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The categories of this paper are: hep-th
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The categories of this paper are: acc-phys
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The categories of this paper are: cond-mat
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The categories of this paper are: cs
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The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: stat