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Trajectories of one-parameters groups of quasi-isometries - MaRDI portal

Trajectories of one-parameters groups of quasi-isometries (Q1892731)

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scientific article; zbMATH DE number 766473
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Trajectories of one-parameters groups of quasi-isometries
scientific article; zbMATH DE number 766473

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    Trajectories of one-parameters groups of quasi-isometries (English)
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    21 June 1995
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    Summary: This work is concerned with a class of curves of the plane: the \(QI\)- circles. A \(QI\)-circle is a curve \(\Gamma \subset \mathbb{R}^ 2\) on which acts homogeneously a 1-parameter group of quasi-isometric mappings of the plane. We give geometric and analytic conditions characterizing these curves. Furtheron, their fractal behaviour is analyzed and we classify them up to quasi-isometric mappings.
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    quasi-isometric
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