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Geodesic laminations as geometric realizations of Pisot substitutions
Published online by Cambridge University Press: 01 August 2000
Abstract
We construct a geodesic lamination on the hyperbolic disk and a dynamical system defined on this lamination. We prove that this dynamical system is a geometrical realization of the symbolic dynamical system that arises from the following Pisot substitution: $1\rightarrow 12, \dotsc, (n-1) \rightarrow 1n, n\rightarrow 1$.
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- 2000 Cambridge University Press
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