41 citations · 279 across the 62 of their papers we have counts for
5 papers · 1 filter
Harmonic extensions of quasiregular maps
Pekka Pankka, Juan Souto
We prove that every non-constant quasiregular selfmap of the -sphere admits a harmonic extension to the hyperbolic space for .
Geodesics Currents and Counting Problems
Kasra Rafi, Juan Souto
For every positive, continuous and homogeneous function on the space of currents on a compact surface , and for every compactly supported filling current , we co…
Thick hyperbolic 3-manifolds with bounded rank
Ian Biringer, Juan Souto
We construct a geometric decomposition for the convex core of a thick hyperbolic 3-manifold M with bounded rank. Corollaries include upper bounds in terms of rank and injectivity r…
Cyclic hyperbolic Veech groups in finite area
Anna Lenzhen, Juan Souto
We prove that there are finite area flat surfaces whose Veech group is an infinite cyclic group consisting of hyperbolic elements
Surface groups of diffeomorphisms of the interval
Ludovic Marquis, Juan Souto
We prove that the group of diffeomorphisms of the interval contains surface groups whose action on has no global fix point, is topologically transitive, and such th…