Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Walking on fractals: diffusion and self-avoiding walks on percolation
  clusters   We consider random walks (RWs) and self-avoiding walks (SAWs) on disordered
lattices directly at the percolation threshold. Applying numerical simulations,
we study the scaling behavior of the models on the incipient percolation
cluster in space dimensions d=2, 3, 4. Our analysis yields estimates of
universal exponents, governing the scaling laws for configurational properties
of RWs and SAWs.

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The categories of this paper are: atom-ph
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The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn
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The categories of this paper are: eess
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: math-ph