Almost surely invariance principle for non-stationary and random intermittent dynamical systems

Yaofeng Su

doi:10.3934/dcds.2019286

Article Contents

2019, Volume 39, Issue 11: 6585-6597. Doi: 10.3934/dcds.2019286

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Almost surely invariance principle for non-stationary and random intermittent dynamical systems

Yaofeng Su

Department of Mathematics, University of Houston, Houston, Texas 77204-3008, USA

Received: December 31, 2018

Revised: April 30, 2019

Published: August 2019

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Abstract

We establish almost sure invariance principles (ASIP), a strong form of approximation by Brownian motion, for non-stationary time series arising as observations on sequential maps possessing an indifferent fixed point. These transformations are obtained by perturbing the slope in the Pomeau-Manneville map. Quenched ASIP for random compositions of these maps is also obtained.

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Mathematics Subject Classification: Primary: 60F17, 37E05; Secondary: 37A25.

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References

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