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arXiv · 2009.05606

The disintegration of measures with periodic repetitive pattern

Bruno Santiago·Régis Varão
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Abstract

In the context of locally constant skew-products over the shift with circle fiber maps we introduce the notion of measures with periodic repetitive pattern, inspired by \cite{GorIlyKleNal:05} and which includes the non-hyperbolic measures they construct. We prove that these measures have atomic disintegration along the central fibers.

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Bruno Santiago, Régis Varão. 2020-09-11. The disintegration of measures with periodic repetitive pattern. https://arxiv.org/abs/2009.05606

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