# Indiscriminate covers of infinite translation surfaces are innocent, not devious

@article{Hooper2015IndiscriminateCO, title={Indiscriminate covers of infinite translation surfaces are innocent, not devious}, author={W. Hooper and R. Trevi{\~n}o}, journal={arXiv: Dynamical Systems}, year={2015} }

We consider the interaction between passing to finite covers and ergodic properties of the straight-line flow on finite area translation surfaces with infinite topological type. Infinite type provides for a rich family of degree $d$ covers for any integer $d>1$. We give examples which demonstrate that passing to a finite cover can destroy ergodicity, but we also provide evidence that this phenomenon is rare. We define a natural notion of a random degree $d$ cover and show that, in many cases… CONTINUE READING

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