Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Singularity of energy measures on a class of inhomogeneous Sierpinski
  gaskets   We study energy measures of canonical Dirichlet forms on inhomogeneous
Sierpinski gaskets. We prove that the energy measures and suitable reference
measures are mutually singular under mild assumptions.

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The categories of this paper are: q-bio
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ex
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The categories of this paper are: econ
31
The categories of this paper are: ao-sci
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The categories of this paper are: eess
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
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The categories of this paper are: patt-sol
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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-th
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The categories of this paper are: physics
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The categories of this paper are: gr-qc
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The categories of this paper are: quant-ph