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arXiv · 2101.01436

Isoperiodic dynamics in rank 1 affine invariant orbifolds

Florent Ygouf
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Abstract

Let M be a rank 1 affine invariant orbifold in a stratum of the moduli space of flat surfaces. We show that the leaves of the M-isoperiodic foliation are either all closed or all dense. In the second case, we establish ergodicity of the foliation with respect to the affine measure on M.

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Florent Ygouf. 2021-01-05. Isoperiodic dynamics in rank 1 affine invariant orbifolds. https://arxiv.org/abs/2101.01436

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