Induced hyperbolicity for one-dimensional maps.
Inner composition of analytic mappings on the unit disk.
Invariant curves and semiconjugacies of rational functions
Jordan analytic curves which are invariant under rational functions are studied.
Itération de polynômes et fonctions entières arithmétiques
Itération des polynômes et propriétés d'orthogonalité
Iteration, level sets, and zeros of derivatives of meromorphic functions.
Iteration theory, compactly divergent sequences and commuting holomorphic maps
Iterations and logarithms of formal automorphisms.
Iterations and logarithms of formal automorphisms. (Short Communication).
Iterative characterizations of powers and exponentials.
Iterative square roots of Cebysev polynomials.
Julia lines of general random Dirichlet series
In this paper, we consider a random entire function defined by a random Dirichlet series where are independent and complex valued variables, . We prove that under natural conditions, for some random entire functions of order zero almost surely every horizontal line is a Julia line without an exceptional value. The result improve a theorem of J. R. Yu: Julia lines of random Dirichlet series. Bull. Sci. Math. 128 (2004), 341–353, by relaxing condition on the distribution of for such function...
Julia sets of rational semigroups.
Laguerre-type exponentials, and the relevant -circular and -hyperbolic functions.
Linéarisation des difféomorphismes analytiques dans une algèbre de Banach.
Linéarisation des perturbations holomorphes des rotations et applications
Lower-dimensional decompositions using complex variables
The purpose of the present paper is to represent non-holomorphic functions depending on one or several complex variables by holomorphic and anti-holomorphic functions depending on only one complex variable. Similarly as in the case of functions of real variables, the obtained criteria can also be interpreted as conditions for the solvability of functional equations.
Mapping properties of Fatou components.
Mating quadratic maps with the modular group.
Meromorphic functions whose Julia sets contain a free Jordan arc.