Some real Rel trajectories in H(1,1) that are not recurrent
Abstract
We study the real Rel orbits of some translation surfaces in the stratum H(1,1). Specifically, surfaces that are tremors of the locus of branched double covers of tori. We give necessary and sufficient conditions on tremors of a surface so that the real Rel orbit is recurrent. As a consequence, we are able to provide explicit examples of trajectories of real Rel that are not recurrent.
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