The disintegration of measures with periodic repetitive pattern

Published 11 Sep 2020 in math.DS | (2009.05606v1)

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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