Selim Ghazouani

activity

20162023

most citedAffine surfaces and their Veech groups

4 citations · 5 across the 7 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.DS2019

$SL_{2} (R)$ -dynamics on the moduli space of one-holed tori

Adrien Boulanger, Selim Ghazouani

We study the $SL_{2} (R)$ -action on the moduli space of (triangulable) dilation tori with one boundary component. We prove that every orbit is either closed or dense…

math.DS2019

The symplectic structure of renormalisation of circle diffeomorphisms with breaks

Selim Ghazouani, Konstantin Khanin

In this article we prove that iterated renormalisations of $C^{r}$ circle diffeomorphisms with $d$ breaks, $r > 2$ , with given size of breaks, converge to an invariant family…

math.DS2019

Local rigidity for periodic generalised interval exchange transformations

Selim Ghazouani

In this article we study local rigidity properties of generalised interval exchange maps using renormalisation methods. We study the dynamics of the renormalisation operator $\math…

SL2​(R)-dynamics on the moduli space of one-holed tori

The symplectic structure of renormalisation of circle diffeomorphisms with breaks

Local rigidity for periodic generalised interval exchange transformations

$SL_{2} (R)$ -dynamics on the moduli space of one-holed tori