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Fractal Geometry and Stochastics IVGeometric Realizations of Hyperbolic Unimodular Substitutions

Fractal Geometry and Stochastics IV: Geometric Realizations of Hyperbolic Unimodular Substitutions [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.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Fractal Geometry and Stochastics IVGeometric Realizations of Hyperbolic Unimodular Substitutions

Part of the Progress in Probability Book Series (volume 61)
Editors: Bandt, Christoph; Zähle, Martina; Mörters, Peter

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References (34)

Publisher
Birkhäuser Basel
Copyright
© Birkhäuser Basel 2009
ISBN
978-3-0346-0029-3
Pages
251 –268
DOI
10.1007/978-3-0346-0030-9_9
Publisher site
See Chapter on Publisher Site

Abstract

[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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