Non-Integer Bases, Iteration of Continuous Real Maps, and an Arithmetic Self-Similar set
Identifieur interne : 009325 ( Main/Exploration ); précédent : 009324; suivant : 009326Non-Integer Bases, Iteration of Continuous Real Maps, and an Arithmetic Self-Similar set
Auteurs : J.-P. Allouche [France] ; M. Cosnard [France]Source :
- Acta Mathematica Hungarica [ 0236-5294 ] ; 2001-06-01.
Abstract
Abstract: We prove that a recent result of Komornik and Loreti on the smallest real number q in (1,2) such that the number 1 admits a unique q-expansion can be deduced from a result of the authors (1983) on kneading sequences occurring when iterating continuous maps of the interval. We also give arithmetic results related to this problem.
Url:
DOI: 10.1023/A:1010667918943
Affiliations:
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