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

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.

Mots clés: self-similay sets; itération des fonctions continues; iteration of continuous real maps; ensembles auto-similaires

Domaines: Autre [cs.OH]

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⟩