Complex dynamics and quasi-conformal geometry.

On combInaTorIal types of Cycles under zd

25 oct. 2017, 09:00

55m

L003 (Université d'Angers)

Orateur

Carsten Lunde Petersen (INM at Roskilde University)

Description

The talk is based on joint work with Saeed Zakeri. Rotation sets for $z^d$, sets on which $z^d$ is topologically conjugate to a rigid rotation, are well studied in the literature. Much less is known about periodic orbits of other types of combinatorics. To be precise by a combinatorics (of period $q$) we mean a dynamics on $\text{Undefined control sequence TT}$ fixing $0\equiv 1$ and which acts as a permutation of order $q$ on the $x_i$. Which combinatorics are realized under $z^d$? In how many distinct ways is a given combinatorics realized? How does this number depend on the degree $d$?

Documents de présentation

Transparents

Petersen.pdf