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Article . 2023 . Peer-reviewed
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Analysis of Correlation Bounds for Uniformly Expanding Maps on [0, 1]

descriptionPublicationkeyboard_double_arrow_right Article 23 Nov 2023 English Publisher:MDPI AGJournal:Axioms, volume 12, page 1,072 (eissn: 2075-1680, Copyright policy )
Authors: Mohamed Abdelkader;

doi: 10.3390/axioms12121072

Analysis of Correlation Bounds for Uniformly Expanding Maps on [0, 1]

Abstract

In this paper, we provide the decay of correlations for random dynamical systems. Precisely, we consider the uniformly C2 piecewise expanding maps defined on the unit interval satisfying λ(Tω′)=inf|Tω′|>2. As a principal tool of these studies, we use a coupling method for analyzing the coupling time of observables with bounded variation.

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Keywords

random dynamical systems, decay of correlations, QA1-939, uniformly expanding maps, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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