33 citations · 50 across the 18 of their papers we have counts for
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math.DS2007★ 3 cited
On the Greenfield-Wallach and Katok conjectures
Giovanni Forni
We survey recent progress on the Greenfield-Wallach and Katok conjectures on globally hypoelliptic and cohomology free vector fields and derive a proof of the conjectures in dimens…
math.DS2007
Deviation of ergodic averages for rational polygonal billiards
Jayadev S. Athreya, Giovanni Forni
We prove polynomial upper bounds for the deviation of ergodic averages for the straight line flow on every translation surface in almost every direction, in particular for those su…