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Non-integer bases, iteration of continuous real maps, and an arithmetic self-similar set

Jean-Paul Allouche Michel Cosnard 1
1 RESEDAS - Software Tools for Telecommunications and Distributed Systems
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : We prove that the Komornik-Loreti number is trancendental and relate this number with iteration of continuous real maps and an arithmetic self-similay sets.
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https://hal.inria.fr/inria-00099100
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Submitted on : Tuesday, September 26, 2006 - 8:50:56 AM
Last modification on : Tuesday, April 5, 2022 - 4:40:00 PM

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Jean-Paul Allouche, Michel Cosnard. Non-integer bases, iteration of continuous real maps, and an arithmetic self-similar set. American Mathematical Monthly, Mathematical Association of America, 2000, 8 p. ⟨10.1023/A:1010667918943⟩. ⟨inria-00099100⟩

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