MENU

You are here

Young towers for product systems

TitleYoung towers for product systems
Publication TypeJournal Article
Year of Publication2016
AuthorsLuzzatto, S, Ruziboev, M
JournalDiscrete & Continuous Dynamical Systems - A
Volume36
Pagination1465
ISSN1078-0947
Abstract

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, Hénon maps and partially hyperbolic systems.

URLhttp://aimsciences.org//article/id/18d4526e-470d-467e-967a-a0345ad4c642
DOI10.3934/dcds.2016.36.1465

Sign in