Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equivalence of Polychromatic Arm Probabilities on the Square Lattice   We consider 2d critical Bernoulli percolation on the square lattice. We prove
an approximate color-switching lemma comparing k-arm probabilities for
different polychromatic color sequences. This result is well-known for site
percolation on the triangular lattice in [Nolin08]. To handle the complications
arising from the dual lattice, we introduce a shifting transformation to
convert arms between the primal and dual lattices.

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The categories of this paper are: q-bio
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ex
1
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: q-fin
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The categories of this paper are: nucl-ex
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The categories of this paper are: nlin
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The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
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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: hep-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-th
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The categories of this paper are: acc-phys