M. de Vries

activity

20102021

most citedUnivoque bases and Hausdorff dimension

3 citations · 5 across the 3 of their papers we have counts for

collaborators

3 papers

math.CO2021

Topology of univoque sets in real base expansions

Martijn de Vries, Vilmos Komornik, Paola Loreti

Given a positive integer $M$ and a real number $q \in (1, M + 1]$ , an expansion of a real number $x \in [0, M / (q - 1)]$ over the alphabet $A = {0, 1, \dots, M}$ is a sequence $(…

math.NT2016★ 3 cited

Univoque bases and Hausdorff dimension

Derong Kong, Wenxia Li, Fan Lü +1

Given a positive integer $M$ and a real number $q > 1$ , a \emph{ $q$ -expansion} of a real number $x$ is a sequence $(c_{i}) = c_{1} c_{2} \dots$ with $(c_{i}) \in {0, \dots, M}^{\infty}$ such th…

math.NT2010★ 2 cited

A two-dimensional univoque set

Martijn de Vries, Vilmos Komornik

Let $J \subset R^{2}$ be the set of couples $(x, q)$ with $q > 1$ such that $x$ has at least one representation of the form $x = \sum_{i = 1}^{\infty} c_{i} q^{- i}$ with int…