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4 papers · 2 filters
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…
Hausdorff dimension, diverging Schottky representations and the infinite dimensional hyperbolic space
Antonin Guilloux, Gilles Courtois
One of our main goals in this paper is to understand the behavior of limit sets of a diverging sequence of Schottky groups in the group of isometries of the N-dimensional hyperboli…
Formal conjugacy and asymptotic differential algebra
Vincent Bagayoko
We study conjugacy of formal derivations on fields of generalised power series in characteristic 0. Casting the problem of Poincaré resonance in terms of asymptotic differential al…
Torus diffeomorphisms with parabolic and non-proper actions on the fine curve graph and their generalized rotation sets
Nastaran Einabadi
We prove that a generic element of the Anosov-Katok class of the torus, , acts parabolically and non-properly on the fine curve graph…