2 citations · 4 across the 4 of their papers we have counts for
4 papers
Heisenberg Translation Flows
Francisco Arana-Herrera, Jayadev Athreya, Giovanni Forni
We study ergodic theoretical properties of flows on circle bundles over translation surfaces that arise via prequantization, generalizing the theory of Heisenberg nilflows to base…
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…
Effective Unique Ergodicity and Weak Mixing of Translation Flows
Giovanni Forni
This text is an introduction to the author's cohomological approach, based on Hodge theory, to (effective) unique ergodicity and weak mixing of translation flows. Compared to earli…