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- Université Toulouse III - Paul SabatierFR936 papers
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6 papers · 2 filters
On the geometry of bifurcation currents for quadratic rational maps
François Berteloot, Thomas Gauthier
We describe the behaviour at infinity of the bifurcation current in the moduli space of quadratic rational maps. To this purpose, we extend it to some closed, positive (1, 1)-curre…
A Proof of the Marmi-Moussa-Yoccoz conjecture for rotation numbers of high type
Davoud Cheraghi, Arnaud Chéritat
Marmi Moussa and Yoccoz conjectured that some error function Upsilon, related to the approximation of the size of Siegel disk by some arithmetic function of the rotation number the…
Topology of singular holomorphic foliations along a compact divisor
David Marín, Jean-François Mattei
We consider a singular holomorphic foliation $\uF$ defined near a compact curve $\uC$ of a complex surface. Under some hypothesis on $(\uF,\uC)$ we prove that there exists a system…
An algebraic characterization of expanding Thurston maps
Peter Haïssinsky, Kevin Pilgrim
Let be a postcritically finite branched covering map without periodic branch points. We give necessary and sufficient algebraic conditions for to be homotopic,…
On (non-)local-connectivity of some Julia sets
Alexandre Dezotti, Pascale Roesch
This article deals with the question of local connectivity of the Julia set of polynomials and rational maps. It essentially presents conjectures and questions.
Geometry of nondegenerate -actions on -manifolds
Nguyen Tien Zung, Nguyen Van Minh
This paper is devoted to a systematic study of the geometry of nondegenerate -actions on -manifolds. The motivations for this study come from both dynamics, where these…