The short-cut test (Q1766552)

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scientific article; zbMATH DE number 2141639
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The short-cut test
scientific article; zbMATH DE number 2141639

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    The short-cut test (English)
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    8 March 2005
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    The existence of ``Laplacians'' on finitely ramified fractals was only known for the the very small subclass of nested fractals. In this paper the author proposes a short-cut test for the existence and uniqueness of Laplacians on finitely ramified graph directed fractals. The results of this paper improve and extend previous results by Sabot, Nussbaum and the author. The short-cut test proposed in this paper is of algorithmic and recursive nature.
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    Dirichlet forms
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    Gateau derivatives
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    existence and uniqueness of Laplacians on finitely ramified graph directed fractals
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