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Journal Articles The American Mathematical Monthly Year : 2000

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

Jean-Paul Allouche
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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.

Dates and versions

inria-00099100 , version 1 (26-09-2006)

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