Dvě věty arithmetické
Dwork's conjecture on unit root zeta functions.
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...
Dyadic Diophantine approximation and Katok's horseshoe approximation
Dyadic Fractions with Small Partial Quotients.
Dyadische Entwicklungen und Hausdorffsches Mass
Dynamic one-pile blocking Nim.
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...
Dynamical systems arising from elliptic curves
We exhibit a family of dynamical systems arising from rational points on elliptic curves in an attempt to mimic the familiar toral automorphisms. At the non-archimedean primes, a continuous map is constructed on the local elliptic curve whose topological entropy is given by the local canonical height. Also, a precise formula for the periodic points is given. There follows a discussion of how these local results may be glued together to give a map on the adelic curve. We are able to give a map whose...
Dynamical zeta functions and Kummer congruences
Dynamics of a continued fraction of Ramanujan with random coefficients.
Dynamics of the continued fraction map and the spectral theory of SL (2, Z).
Dynamique des nombres et physique des oscillateurs
Nous présentons un modèle mathématique permettant de reproduire le spectre expérimental des fréquences dans un composant électronique appelé boucle ouverte. Le spectre semble s’organiser suivant une contrainte de nature diophantienne sur les fréquences. Sa structure peut donc se comprendre via une étude de l’ensemble des fractions continues en fonction de leur longueur et de la taille des quotients partiels.
Dynamique des polynômes quadratiques sur les corps locaux
Dans cette note, nous montrons que la dynamique d’un polynôme quadratique sur un corps local peut être déterminée en temps fini, et que l’on a l’alternative suivante : soit l’ensemble de Julia est vide, soit y est conjugué au décalage unilatéral sur symboles.
Dynamiques associees a une echelle de numeration
Dynatomic cycles for morphisms of projective varieties.
Dyson's lemma and a theorem of Esnault and Viehweg.
Dyson's Lemma for polynomials in several variables (and the Theorem of Roth).
Dyson's lemma for products of two curves of arbitrary genus.