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Unique ergodicity for random noninvertible maps on an interval

Unique ergodicity for random noninvertible maps on an interval

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2918011228

Unique ergodicity for random noninvertible maps on an interval

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Full title

Unique ergodicity for random noninvertible maps on an interval

Publisher

Ithaca: Cornell University Library, arXiv.org

Journal title

arXiv.org, 2024-03

Language

English

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Publication information

Publisher

Ithaca: Cornell University Library, arXiv.org

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Subjects and topics

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Scope and Contents

Contents

In this short note, we investigate non-invertible stochastic dynamical systems on the unit interval \([0, 1]\). We provide a handy condition for unique ergodicity for systems that are injective in mean. On the other hand, we give concrete examples where unique ergodicity fails.

Alternative Titles

Full title

Unique ergodicity for random noninvertible maps on an interval

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Record Identifier

TN_cdi_proquest_journals_2918011228

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2918011228

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E-ISSN

2331-8422

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