6 citations · 25 across the 18 of their papers we have counts for
3 papers · 1 filter
The geometry of totally geodesic subvarieties of moduli spaces of Riemann surfaces
Francisco Arana-Herrera, Alex Wright
We prove a semisimplicity result for the boundary, in the corresponding Deligne-Mumford compactification, of a totally geodesic subvariety of a moduli space of Riemann surfaces. At…
Weak mixing in rational billiards
Francisco Arana-Herrera, Jon Chaika, Giovanni Forni
We completely characterize rational polygons whose billiard flow is weakly mixing in almost every direction as those which are not almost integrable, in the terminology of Gutkin,…
From limit theorems to mixing limit theorems
Francisco Arana-Herrera, Giovanni Forni
Motivated by work of Dolgopyat and Nándori, we establish a general method for upgrading limit theorems for Birkhoff sums and cocycles over dynamical systems to mixing limit theorem…