6 citations · 25 across the 18 of their papers we have counts for
4 papers · 1 filter
The shapes of complementary subsurfaces to simple closed hyperbolic multi-geodesics
Francisco Arana-Herrera, Aaron Calderon
Cutting a hyperbolic surface X along a simple closed multi-geodesic results in a hyperbolic structure on the complementary subsurface. We study the distribution of the shapes of th…
Effective count of square-tiled surfaces with prescribed real and imaginary foliations in connected components of strata
Francisco Arana-Herrera
We prove an effective estimate with a power saving error term for the number of square-tiled surfaces in a connected component of a stratum of quadratic differentials whose vertica…
Counting problems from the viewpoint of ergodic theory: from primitive integer points to simple closed curves
Francisco Arana-Herrera
In her thesis, Mirzakhani showed that the number of simple closed geodesics of length on a closed, connected, oriented hyperbolic surface of genus is asymptotic to…
The asymmetry of Thurston's earthquake flow
Francisco Arana-Herrera, Alex Wright
We show that Thurston's earthquake flow is strongly asymmetric in the sense that its normalizer is as small as possible inside the group of orbifold automorphisms of the bundle of…