Non-integer bases, iteration of continuous real maps, and an arithmetic self-similar set
Identifieur interne : 002906 ( Crin/Corpus ); précédent : 002905; suivant : 002907Non-integer bases, iteration of continuous real maps, and an arithmetic self-similar set
Auteurs : Jean-Paul Allouche ; Michel CosnardSource :
- American Mathematical Monthly ; 2000.
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.
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CRIN:allouche00aLe document en format XML
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<front><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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<BibTex type="article"><ref>allouche00a</ref>
<crinnumber>A00-R-018</crinnumber>
<category>1</category>
<author><e>Allouche, Jean-Paul</e>
<e>Cosnard, Michel</e>
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<title>Non-integer bases, iteration of continuous real maps, and an arithmetic self-similar set</title>
<journal>American Mathematical Monthly</journal>
<year>2000</year>
<keywords><e>iteration of continuous real maps</e>
<e>self-similay sets</e>
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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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