Deformation of a torus by attaching the Riemann sphere.
Deformation of plates of small condensers and Belinskij's problem.
Deformations and moduli of Riemann Surfaces with nodes and signatures.
Déformations de flots d'Anosov et de groupes fuchsiens
Nous étudions les flots d’Anosov sur les variétés compactes de dimension 3 pour lesquels les distributions stable et instable faibles sont de classe . Nous classons tous ces flots lorsqu’ils préservent le volume puis nous construisons une famille d’exemples qui ne préservent pas le volume. Nous classons aussi ces flots sous une hypothèse de “pincement”. En application, nous décrivons les déformations des groupes fuchsiens dans le groupe des difféomorphismes du cercle.
Deformations of representations of discrete subgroups of SO (3,1).
Deforming real projective structures.
Degeneration of quasicircles: Inner and outer radii of Teichmüller spaces.
Démonstration de la conjecture de Bieberbach
Démonstration d'un théorème de Penner sur la composition des twists de Dehn
Démonstration nouvelle d'un théorème fondamental sur les suites de fonctions monogènes
Density of heat curves in the moduli space
Density of periodic sources in the boundary of a basin of attraction for iteration of holomorphic maps: geometric coding trees technique
We prove that if A is a basin of immediate attraction to a periodic attracting or parabolic point for a rational map f on the Riemann sphere, then the periodic points in the boundary of A are dense in this boundary. To prove this in the non-simply connected or parabolic situations we prove a more abstract, geometric coding trees version.
Density of Polynomials in the L^2 Space on the Real and the Imaginary Axes and in a Sobolev Space
2000 Mathematics Subject Classification: 41A10, 30E10, 41A65.In this paper we consider an L^2 type space of scalar functions L^2 M, A (R u iR) which can be, in particular, the usual L^2 space of scalar functions on R u iR. We find conditions for density of polynomials in this space using a connection with the L^2 space of square-integrable matrix-valued functions on R with respect to a non-negative Hermitian matrix measure. The completness of L^2 M, A (R u iR ) is also established.
Density theorems for sampling and interpolation in the Bargmann-Fock space III.
Der 4-Werte-Satz in der Zahlentheorie
Der Fundamentalbereich der Schwarz`schen s- Function im Falle complexer Exponenten
Der Satz von der Gebietstreue.
Der Zusammenhang zwischen der Randwertaufgabe von Riemann und einem Problem der mathematischen Musiktheorie
Derivative and antiderivative operators and the size of complex domains
We prove some conditions on a complex sequence for the existence of universal functions with respect to sequences of certain derivative and antiderivative operators related to it. These operators are defined on the space of holomorphic functions in a complex domain. Conditions for the equicontinuity of those sequences are also studied. The conditions depend upon the size of the domain.
Derivative of generalized quadratic mean function of entire functions defined by Dirichlet series