Pasting together Julia sets: a worked out example of mating.
Periodic points and dynamic rays of exponential maps.
Picard Sets for Entire Functions.
Polymorphisms and linearization of nonlinear polynomials.
Polynomial cycles in algebraic number fields
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).
Problems and solutions by the application of Julia set theory to one-dot and multi-dots numerical methods.
Prolongement de mouvements holomorphes
Proof of a Conjecture of Gross Concerning Fix-points.
Pseudo-Bessel functions and applications.
Pseudo-iteration semigroups and commuting holomorphic maps
A connection between iteration theory and the study of sets of commuting holomorphic maps is investigated, in the unit disc of . In particular, given two holomorphic maps and of the unit disc into itself, it is proved that if belongs to the pseudo-iteration semigroup of (in the sense of Cowen) then - under certain conditions on the behaviour of their iterates - the maps and commute.