arXiv subjects

S. Bonnot

Publications and source records attributed to S. Bonnot.

2 recordsLinked to original sources

arXiv2016

Julia sets for Fibonacci endomorphisms of $\mathbb{C}^2$ and $\mathbb{R}^2$

We study the dynamics of the family $f_c(x, y)= (xy+c, x)$ of endomorphisms of $\mathbb{R}^2$ and $\mathbb{C}^2$, where $c$ is a real or complex parameter. Such maps can be seen as perturbations of the map $f_0(x,y)=(xy,x)$, which is a complexification of the Anosov torus map $(u,v) \mapsto (u+v,u)$.

math.DS↗

arXiv2006

A presentation for the baseleaf preserving mapping class group of the punctured solenoid

We give a presentation for the baseleaf preserving mapping class group $Mod(§)$ of the punctured solenoid $§$. The generators for our presentation were introduced previously, and several relations among them were derived. In addition, we show that $Mod(§)$ has no non-trivial central elements. Our main tool is a new complex of triangulations of the disk upon which $Mod(§)$ acts.

math.DS↗