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[We generalize the construction of Rauzy fractals to hyperbolic substitutions. A fractal-domain-exchange transformation is defined, and it is proved that this transformation is measure-theoretically isomorphic to the substitution dynamical system.]
Published: Dec 30, 2009
Keywords: Primary 37B10; Secondary 37D20; Hyperbolic substitution; Rauzy fractal; substitution dynamical system
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