Deviation of ergodic averages for rational polygonal billiards

Details Deviation of ergodic averages for rational polygonal billiards Deviation of ergodic averages for rational polygonal billiards

2007-01-23

arxiv.org/abs/math/0701658v4

Mathematics

Dynamical Systems

to appear in Duke Mathematical Journal. Some minor corrections made, typos fixed, some new references added

Scientific paper

We prove polynomial upper bounds for the deviation of ergodic averages for
the straight line flow on every translation surface in almost every direction,
in particular for those surfaces arising from rational polygonal billiards.

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