Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Brownian motion on the golden ratio Sierpinski gasket   We construct a strongly local regular Dirichlet form on the golden ratio
Sierpinski gasket, which is a self-similar set without any finitely ramified
cell structure, via a study on the trace of electrical networks on an infinite
graph. The Dirichlet form is self-similar in the sense of an infinite iterated
function system, and is decimation invariant with respect to a graph-directed
construction. A theorem of uniqueness is also provided. Lastly, the associated
process satisfies the two-sided sub-Gaussian heat kernel estimate.

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The categories of this paper are: atom-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-th
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The categories of this paper are: astro-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: q-bio
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: math-ph
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The categories of this paper are: q-alg
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The categories of this paper are: plasm-ph