Pairs of paths and critical points.
Pasting together Julia sets: a worked out example of mating.
Periodic points and dynamic rays of exponential maps.
Periodic quasiregular mappings of finite order.
The authors construct a periodic quasiregular function of any finite order p, 1 < p < infinity. This completes earlier work of O. Martio and U. Srebro.
Picard Sets for Entire Functions.
Pick functions related to entire functions having negative zeros.
Polymorphisms and linearization of nonlinear polynomials.
Polynômes de Lagrange sur les entiers d'un corps quadratique imaginaire
L'objet de ce texte est de donner une estimation arithmétique des valeurs prises par les polynômes de Lagrange sur les entiers d'un corps quadratique imaginaire en des points de ce corps. Ces polynômes interviennent dans l'étude des fonctions entières arithmétiques et dans les minorations de formes linéaires de Logarithmes.
Polynômes d’interpolation sur
Polynomial cycles in algebraic number fields
Polynomials of Maximal Index.
Porosity of Collet–Eckmann Julia sets
We prove that the Julia set of a rational map of the Riemann sphere satisfying the Collet-Eckmann condition and having no parabolic periodic point is mean porous, if it is not the whole sphere. It follows that the Minkowski dimension of the Julia set is less than 2.
Power series and zeroes of trinomial equations.
Power series and zeroes of trinomial equations. (Summary).
Power-bounded elements and radical Banach algebras
Firstly, we give extensions of results of Gelfand, Esterle and Katznelson--Tzafriri on power-bounded operators. Secondly, some results and questions relating to power-bounded elements in the unitization of a commutative radical Banach algebra are discussed.
Problème des moments -dimensionnel ; mesures quasi-spectrales et semi-groupes
Problems and solutions by the application of Julia set theory to one-dot and multi-dots numerical methods.
Problems and Theorems in the Theory of Multiplier Sequences
The purpose of this paper is (1) to highlight some recent and heretofore unpublished results in the theory of multiplier sequences and (2) to survey some open problems in this area of research. For the sake of clarity of exposition, we have grouped the problems in three subsections, although several of the problems are interrelated. For the reader’s convenience, we have included the pertinent definitions, cited references and related results, and in several instances, elucidated the problems by...
Prolongement de mouvements holomorphes
Prolongement méromorphe de , et division des distributions, d’après I. N. Bernstein