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math.DS2024
Mapping class group orbit closures for Deroin-Tholozan representations
Yohann Bouilly, Gianluca Faraco, Arnaud Maret
We prove that infinite mapping class group orbits are dense in the character variety of Deroin-Tholozan representations. In other words, the action is minimal except for finite orb…
math.DS2022★ 1 cited
On the distality and expansivity of certain maps on spheres
Manoj Choudhuri, Gianluca Faraco, Alok Kumar Yadav
Any affine map on the (n+1)-dimensional Euclidean space gives rise to a natural map on the n-dimensional sphere whose dynamical aspects are not so well-studied in the literature. W…
math.DS2021
Modular orbits on the representation spaces of compact abelian Lie groups
Yohann Bouilly, Gianluca Faraco
Let be a closed surface of genus greater than zero. In the present paper we study the topological-dynamical action of the mapping class group on the -character va…