Parking garages with optimal dynamics

Details Parking garages with optimal dynamics Parking garages with optimal dynamics

2011-01-19

arxiv.org/abs/1101.3772v1

Mathematics

Dynamical Systems

Scientific paper

We construct generalized polygons (`parking garages') in which the billiard
flow satisfies the Veech dichotomy, although the associated translation surface
obtained from the Zemlyakov-Katok unfolding is not a lattice surface. We also
explain the difficulties in constructing a genuine polygon with these
properties.

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