Distributions de Frobénius
Duality for digital nets and its applications
Dyadic diaphony
Dyadic diaphony of digital sequences
The dyadic diaphony is a quantitative measure for the irregularity of distribution of a sequence in the unit cube. In this paper we give formulae for the dyadic diaphony of digital -sequences over , . These formulae show that for fixed , the dyadic diaphony has the same values for any digital -sequence. For , it follows that the dyadic diaphony and the diaphony of special digital -sequences are up to a constant the same. We give the exact asymptotic order of the dyadic diaphony of digital...
Dyadische Entwicklungen und Hausdorffsches Mass
Dynamical directions in numeration
This survey aims at giving a consistent presentation of numeration from a dynamical viewpoint: we focus on numeration systems, their associated compactification, and dynamical systems that can be naturally defined on them. The exposition is unified by the fibred numeration system concept. Many examples are discussed. Various numerations on rational integers, real or complex numbers are presented with special attention paid to -numeration and its generalisations, abstract numeration systems and...
Dynamiques associees a une echelle de numeration