2 papers
math.GT2025
On Mirzakhani's twist torus conjecture
Aaron Calderon, James Farre
We address a conjecture of Mirzakhani about the statistical behavior of certain expanding families of ``twist tori'' in the moduli space of hyperbolic surfaces, showing that they e…
math.GT2025
Continuity of the orthogeodesic foliation and ergodic theory of the earthquake flow
Aaron Calderon, James Farre
In a previous paper, the authors extended Mirzakhani's (almost-everywhere defined) measurable conjugacy between the earthquake and horocycle flows to a measurable bijection. In thi…