17 citations · 85 across the 26 of their papers we have counts for
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math.DS2010★ 1 cited
Mixing for Time-Changes of Heisenberg Nilflows
Artur Avila, Giovanni Forni, Corinna Ulcigrai
We consider reparametrizations of Heisenberg nilflows. We show that if a Heisenberg nilflow is uniquely ergodic, all non-trivial time-changes within a dense subspace of smooth time…
math.DS2010★ 17 cited
Geodesic flow on the Teichmueller disk of the regular octagon, cutting sequences and octagon continued fractions maps
John Smillie, Corinna Ulcigrai
In this paper we give a geometric interpretation of the renormalization algorithm and of the continued fraction map that we introduced in arxiv:0905.0871 to give a characterization…