Resumen de Ubiquity and large intersections properties under digit frequencies constraints

Julien Barral, Stéphane Seuret

• 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.