13 citations · 96 across the 16 of their papers we have counts for
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math.GT2014★ 11 cited
The distribution of gaps for saddle connections on the octagon
Caglar Uyanik, Grace Work
We explicitly compute the limiting gap distribution for slopes of saddle connections on the flat surface associated to the regular octagon with opposite sides identified. This is t…
math.GR2014★ 10 cited
Dynamics of hyperbolic iwips
Caglar Uyanik
We present two proofs of the fact, originally due to Reiner Martin, that any fully irreducible hyperbolic element of acts on the projectivized space of geodesic currents…