10 citations · 10 across the 2 of their papers we have counts for
5 papers
Positive crossratios, barycenters, trees and applications to maximal representations
Marc Burger, Alessandra Iozzi, Anne Parreau +1
We study metric properties of maximal framed representations of fundamental groups of surfaces in symplectic groups over real closed fields, interpreted as actions on Bruhat-Tits b…
The real spectrum compactification of character varieties: characterizations and applications
Marc Burger, Alessandra Iozzi, Anne Parreau +1
We announce results on a compactification of general character varieties that has good topological properties and give various interpretations of its ideal points. We relate this t…
Conformality for a robust class of non-conformal attractors
Beatrice Pozzetti, Andrés Sambarino, Anna Wienhard
In this paper we investigate the Hausdorff dimension of limit sets of Anosov representations. In this context we revisit and extend the framework of hyperconvex representations and…
A structure theorem for geodesic currents and length spectrum compactifications
Marc Burger, Alessandra Iozzi, Anne Parreau +1
We find a canonical decomposition of a geodesic current on a surface of finite type arising from a topological decomposition of the surface along special geodesics. We show that ea…
The zero norm subspace of bounded cohomology of acylindrically hyperbolic groups
Federico Franceschini, Roberto Frigerio, Maria Beatrice Pozzetti +1
We construct combinatorial volume forms of hyperbolic three manifolds fibering over the circle. These forms define non-trivial classes in bounded cohomology. After introducing a ne…