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arXiv:1609.03757 [math.DS]AbstractReferencesReviewsResources

Lebesgue spectrum for area preserving flows on the two torus

Bassam Fayad, Giovanni Forni, Adam Kanigowski

Published 2016-09-13Version 1

We study the spectral measures of area preserving mixing flows on the torus having one degenerate singularity. We show that, for a sufficiently strong singularity, the maximal spectral type of these flows is typically Lebesgue measure on the line.

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