A Combinatorial Characterization of the Critical Itineraries of a Uniform Dynamical System
| Autor: | Barnsley, Michael, Steiner, Wolfgang, Vince, Andrew |
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| Rok vydání: | 2012 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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 $\beta$-expansions (with positive or negative $\beta$) and fractal transformations. A combinatorial characterization of the critical itineraries of such functions is provided. Comment: 19 pages, 2 figures |
| Databáze: | arXiv |
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