Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dissipative Abelian Sandpiles and Random Walks   We show that the dissipative Abelian sandpile on a graph L can be related to
a random walk on a graph which consists of L extended with a trapping site.
  From this relation it can be shown, using exact results and a scaling
assumption, that the dissipative sandpiles' correlation length exponent \nu
always equals 1/d_w, where d_w is the fractal dimension of the random walker.
This leads to a new understanding of the known results that \nu=1/2 on any
Euclidean lattice. Our result is however more general and as an example we also
present exact data for finite Sierpinski gaskets which fully confirm our
predictions.

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The categories of this paper are: hep-th
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The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
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The categories of this paper are: physics
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: cs
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The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
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The categories of this paper are: nlin
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The categories of this paper are: math-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: stat