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dc.contributor.authorBruin, Henk
dc.contributor.authorDemers, Mark F.
dc.contributor.authorTodd, Mike
dc.identifier.citationBruin , H , Demers , M F & Todd , M 2018 , ' Hitting and escaping statistics : mixing, targets and holes ' , Advances in Mathematics , vol. 328 , pp. 1263-1298 .
dc.identifier.otherPURE: 245163138
dc.identifier.otherPURE UUID: d1b9e40b-9b00-465d-be62-8c8f875c9954
dc.identifier.otherScopus: 85044136151
dc.identifier.otherORCID: /0000-0002-0042-0713/work/54181505
dc.identifier.otherWOS: 000432905300032
dc.descriptionMD was partially supported by NSF grant DMS 1362420. This project was started as part of an RIG grant through ICMS, Scotland.en
dc.description.abstractThere is a natural connection between two types of recurrence law: hitting times to shrinking targets, and hitting times to a fixed target (usually seen as escape through a hole). We show that for systems which mix exponentially fast, one can move through a natural parameter space from one to the other. On the other hand, if the mixing is subexponential, there is a phase transition between the hitting times law and the escape law.
dc.relation.ispartofAdvances in Mathematicsen
dc.rights© 2018 Elsevier Inc. This work is made available online in accordance with the publisher’s policies. This is the author created, accepted version manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at
dc.subjectHitting time statisticsen
dc.subjectOpen systemsen
dc.subjectEscape ratesen
dc.subjectMixing ratesen
dc.subjectQA Mathematicsen
dc.titleHitting and escaping statistics : mixing, targets and holesen
dc.typeJournal articleen
dc.contributor.institutionUniversity of St Andrews.Pure Mathematicsen
dc.description.statusPeer revieweden

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