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
Effective polynomial upper bounds to perigees and numbers of (3x+d)-cycles of a given oddlength
Eine metrische Eigenschaft der Cantorschen Entwicklungen der reellen Zahlen und Irrationalitätskriterien
Ergodic and Diophantine properties of algorithms of Selmer type
Ergodic averages with deterministic weights
We study the convergence of the ergodic averages where is a bounded sequence and a strictly increasing sequence of integers such that for some . Moreover we give explicit such sequences and and we investigate in particular the case where is a -multiplicative sequence.
Ergodic properties of generalized Lüroth series
Ergodische Theorie von Ziffernentwicklungen in Wahrscheinlichkeitsräumen.
Étude spectrale de la multiplication -adique
Etude spectrale des substitutions de longueur constante
Fonctions arithmétiques multiplicatives et multiplicateurs de Fourier. II
Fonctions presque périodiques (au sens de Bohr) et fonction zêta de Riemann
Fonctions q-multiplicatives. Application aux nombres de Pisot-Vijayaraghavan.
Fourier Analysis of Riemann Distributions and Explicit Formulas.
Fractales de Riemann: números y figuras.
Funktionen mit formalen Eulerprodukt.
Generalization of a Theorem of Kusmin.
Generic points in the cartesian powers of the Morse dynamical system
The symbolic dynamical system associated with the Morse sequence is strictly ergodic. We describe some topological and metrical properties of the Cartesian powers of this system, and some of its other self-joinings. Among other things, we show that non generic points appear in the fourth power of the system, but not in lower powers. We exhibit various examples and counterexamples related to the property of weak disjointness of measure preserving dynamical systems.
Harmonic measures versus quasiconformal measures for hyperbolic groups
We establish a dimension formula for the harmonic measure of a finitely supported and symmetric random walk on a hyperbolic group. We also characterize random walks for which this dimension is maximal. Our approach is based on the Green metric, a metric which provides a geometric point of view on random walks and, in particular, which allows us to interpret harmonic measures as quasiconformal measures on the boundary of the group.