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Young Towers for Product Systems by Luzzatto, Stefano; Ruziboev, Marks is a scholarly article available to read on EtoBox.

What is Young Towers for Product Systems about?

We show that the direct product of maps with Young towers admits a Young tower whose return times decay at a rate which is bounded above by the slowest of the rates of decay of the return times of the component maps. An application of this result, together with other results in the literature, yields various statistical properties for the direct product of various classes of systems, including Lorenz-like maps, multimodal maps, piecewise $ C^2 $ interval maps with critical points and singularities, H\'enon maps and partially hyperbolic systems.

Author

Luzzatto, Stefano; Ruziboev, Marks

Published

2014

Language

EN