4 papers
Large-scale geometry of the saddle connection graph
Valentina Disarlo, Huiping Pan, Anja Randecker +1
We prove that the saddle connection graph associated to any half-translation surface is 4-hyperbolic and uniformly quasi-isometric to the regular countably infinite-valent tree. Co…
Cusp excursion in hyperbolic manifolds and singularity of harmonic measure
Anja Randecker, Giulio Tiozzo
We generalize the notion of cusp excursion of geodesic rays by introducing for any the excursion in the cusps of a hyperbolic -manifold of finite volume. We…
Expected covering radius of a translation surface
Howard Masur, Kasra Rafi, Anja Randecker
A translation structure equips a Riemann surface with a singular flat metric. Not much is known about the shape of a random translation surface. We compute an upper bound on the ex…
Renormalizing an infinite rational IET
W. Patrick Hooper, Kasra Rafi, Anja Randecker
We study an interval exchange transformation of [0,1] formed by cutting the interval at the points 1/n and reversing the order of the intervals. We find that the transformation is…