10 citations · 13 across the 5 of their papers we have counts for
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math.DS2009★ 10 cited
Symbolic coding for linear trajectories in the regular octagon
John Smillie, Corinna Ulcigrai
We consider a symbolic coding of linear trajectories in the regular octagon with opposite sides identified (and more generally in regular 2n-gons). Each infinite trajectory gives a…
math.DS2009★ 3 cited
Absence of mixing in area-preserving flows on surfaces
Corinna Ulcigrai
We prove that minimal area-preserving flows locally given by a smooth Hamiltonian on a closed surface of any genus are typically (in the measure-theoretical sense) not mixing. The…