Francisco Arana-Herrera

activity

20192026

most citedCounting hyperbolic multi-geodesics with respect to the lengths of individual components

6 citations · 25 across the 18 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.DS2019★ 4 cited

Equidistribution of horospheres on moduli spaces of hyperbolic surfaces

Francisco Arana-Herrera

Given a simple closed curve $γ$ on a connected, oriented, closed surface $S$ of negative Euler characteristic, Mirzakhani showed that the set of points in the moduli space of hyper…

math.DS2019

Square-integrability of the Mirzakhani function and statistics of simple closed geodesics on hyperbolic surfaces

Francisco Arana-Herrera, Jayadev S. Athreya

Given integers $g, n \geq 0$ satisfying $2 - 2 g - n < 0$ , let $M_{g, n}$ be the moduli space of connected, oriented, complete, finite area hyperbolic surfaces of genus $g$ with…

math.DS2019

Counting square-tiled surfaces with prescribed real and imaginary foliations and connections to Mirzakhani's asymptotics for simple closed hyperbolic geodesics

Francisco Arana-Herrera

We show that the number of square-tiled surfaces of genus $g$ , with $n$ marked points, with one or both of its horizontal and vertical foliations belonging to fixed mapping class g…