most citedVeech groups, irrational billiards and stable abelian differentials

5 citations · 5 across the 2 of their papers we have counts for

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math.DS2009★ 5 cited

Veech groups, irrational billiards and stable abelian differentials

Ferran Valdez

We describe Veech groups of flat surfaces arising from irrational angled polygonal billiards or irreducible stable abelian differentials. For irrational polygonal billiards, we pro…

math.DS2008

Infinite genus surfaces and irrational polygonal billiards

Ferran Valdez

We prove that the natural invariant surface associated with the billiard game on an irrational polygonal table is homeomorphic to the Loch Ness monster, that is, the only orientabl…