Polyhedral Realization of a Thurston Compactification
Let be the connected sum of three real projective planes. We realize the Thurston compactification of the Teichmüller space as a simplex in .
Polylogarithms and arithmetic function spaces
Polymorphic Functions for Groups of Divergence Type.
Polymorphisms and linearization of nonlinear polynomials.
Polynômes à coefficients unimodulaires sur le cercle unité
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
Polynômes quadratiques et attracteur de Hénon
Polynomial approximations and universality
We give another version of the recently developed abstract theory of universal series to exhibit a necessary and sufficient condition of polynomial approximation type for the existence of universal elements. This certainly covers the case of simultaneous approximation with a sequence of continuous linear mappings. In the case of a sequence of unbounded operators the same condition ensures existence and density of universal elements. Several known results, stronger statements or new results can be...
Polynomial complexity of the Gilman-Maskit discreteness algorithm.
Polynomial cycles in algebraic number fields
Polynomial Growth along Jordan Arcs.
Polynomial invariants for fibered 3-manifolds and teichmüller geodesics for foliations
Polynomials in many variables
Polynomials of Maximal Index.
Polynomials, sign patterns and Descartes' rule of signs
By Descartes’ rule of signs, a real degree polynomial with all nonvanishing coefficients with sign changes and sign preservations in the sequence of its coefficients () has positive and negative roots, where and . For , for every possible choice of the sequence of signs of coefficients of (called sign pattern) and for every pair satisfying these conditions there exists a polynomial with exactly positive and exactly negative roots (all of them simple). For this is not...
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.
Positive trigonometric sums and applications.
Possibility of Complex Asymptotic Approximation on Closed Sets.
Power series and zeroes of trinomial equations.