M. D. Vries

collaborators

2 papers

math.DS2006

Invariant densities for random $β$ -expansions

K. Dajani, M. de Vries

Let $β > 1$ be a non-integer. We consider expansions of the form $\sum_{i = 1}^{\infty} d_{i} β^{- i}$ , where the digits $(d_{i})_{i \geq 1}$ are generated by means of a Borel map $K_{β}$ def…

math.NT2006

A property of algebraic univoque numbers

M. de Vries

Consider the set $\uu$ of real numbers $q \geq 1$ for which only one sequence $(c_{i})$ of integers $0 \leq c_{i} \leq q$ satisfies the equality $\sum_{i = 1}^{\infty} c_{i} q^{- i} = 1$ . In t…

Invariant densities for random β-expansions

A property of algebraic univoque numbers

Invariant densities for random $β$ -expansions