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Critical itineraries of maps with constant slope and one discontinuity
Published online by Cambridge University Press: 24 November 2014
Abstract
For a function from the unit interval to itself with constant slope and one discontinuity, the itineraries of the point of discontinuity are called the critical itineraries. These critical itineraries play a significant role in the study of β-expansions (with positive or negative β) and fractal transformations. A combinatorial characterization of the critical itineraries of such functions is provided.
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- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 157 , Issue 3 , November 2014 , pp. 547 - 565
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- Copyright © Cambridge Philosophical Society 2014
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