7 citations · 15 across the 12 of their papers we have counts for
5 papers · 1 filter
Closed geodesics in dilation surfaces
Adrien Boulanger, Selim Ghazouani, Guillaume Tahar
We prove that directions of closed geodesics in every dilation surface form a dense subset of the circle. The proof draws on a study of the degenerations of the Delaunay triangulat…
Affine surfaces and their Veech groups
Eduard Duryev, Charles Fougeron, Selim Ghazouani
We introduce a class of objects which we call 'affine surfaces'. These provide families of foliations on surfaces whose dynamics we are interested in. We present and analyze a coup…
Mapping class group dynamics and the holonomy of branched affine structures
Selim Ghazouani
We classify, up to few exceptions, the orbit closures of the -action on the affine character variety . We obtain from this classificat…
Moduli spaces of flat tori with prescribed holonomy
Selim Ghazouani, Luc Pirio
We generalise to the genus one case several results of Thurston concerning moduli spaces of flat Euclidean structures with conical singularities on the two dimensional sphere. More…
Mapping class group dynamics on Aff(C)-characters
Selim Ghazouani
We prove that in genus bigger than , the mapping class group action on -characters is ergodic. This implies that almost every representation $π_1 S \lo…