Ubiquity and large intersections properties under digit frequencies constraints

• Autores: Julien Barral, Stéphane Seuret
• Localización: Mathematical proceedings of the Cambridge Philosophical Society, ISSN 0305-0041, Vol. 145, Nº 3, 2008, págs. 527-548
• Idioma: inglés
• DOI: 10.1017/s030500410800159x
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• Resumen

  • We are interested in two properties of real numbers: the first one is the property of being well-approximated by some dense family of real numbers {xn}n=1, such as rational numbers and more generally algebraic numbers, and the second one is the property of having given digit frequencies in some b-adic expansion.