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

Identifieur interne : 002906 ( Crin/Corpus ); précédent : 002905; suivant : 002907

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

Auteurs : Jean-Paul Allouche ; Michel Cosnard

Source :

RBID : CRIN:allouche00a

English descriptors

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.

Links to Exploration step

CRIN:allouche00a

Le document en format XML

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<div type="abstract" xml:lang="en" wicri:score="534">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.</div>
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<crinnumber>A00-R-018</crinnumber>
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<e>Cosnard, Michel</e>
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<title>Non-integer bases, iteration of continuous real maps, and an arithmetic self-similar set</title>
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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.</abstract>
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