Artículo
On absolutely normal and continued fraction normal numbers
Fecha de publicación:
12/2017
Editorial:
Oxford University Press
Revista:
International Mathematics Research Notices
ISSN:
1073-7928
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
We give a construction of a real number that is normal to all integer bases and continued fraction normal. The computation of the firstn digits of its continued fraction expansion performs in the order ofn^4 mathematical operations. The construction works by defining successive refinements of appropriate subintervals to achieve, in the limit, simple normality to all integer bases and continued fraction normality. The main difficulty is to control the length of these subintervals. To achieve this we adapt and combine known metric theorems on continued fractions and on expansions in integers bases.
Palabras clave:
Normal Numbers
,
Polynomial Time Algorithm
,
Continued Fractions
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Articulos(IMAS)
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Citación
Becher, Veronica Andrea; Yuhjtman, Sergio Andrés; On absolutely normal and continued fraction normal numbers; Oxford University Press; International Mathematics Research Notices; 12-2017; 1-26
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