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Attainable forms of intermediate dimensions
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dc.contributor.author | Banaji, Amlan | |
dc.contributor.author | Rutar, Alex | |
dc.date.accessioned | 2022-08-18T14:30:03Z | |
dc.date.available | 2022-08-18T14:30:03Z | |
dc.date.issued | 2022-07-04 | |
dc.identifier | 279308239 | |
dc.identifier | d08595da-7f7f-4236-978d-904ae037dcd6 | |
dc.identifier | 85135531231 | |
dc.identifier.citation | Banaji , A & Rutar , A 2022 , ' Attainable forms of intermediate dimensions ' , Annales Academiae Scientiarum Fennicae-Mathematica , vol. 47 , no. 2 , pp. 939-960 . https://doi.org/10.54330/afm.120529 | en |
dc.identifier.issn | 1239-629X | |
dc.identifier.other | ORCID: /0000-0002-3727-0894/work/117567688 | |
dc.identifier.other | ORCID: /0000-0001-5173-992X/work/117567859 | |
dc.identifier.uri | https://hdl.handle.net/10023/25860 | |
dc.description.abstract | The intermediate dimensions are a family of dimensions which interpolate between the Hausdorff and box dimensions of sets. We prove a necessary and sufficient condition for a given function h(θ) to be realized as the intermediate dimensions of a bounded subset of Rd. This condition is a straightforward constraint on the Dini derivatives of h(θ), which we prove is sharp using a homogeneous Moran set construction. | |
dc.format.extent | 670879 | |
dc.language.iso | eng | |
dc.relation.ispartof | Annales Academiae Scientiarum Fennicae-Mathematica | en |
dc.subject | Hausdorff dimension | en |
dc.subject | Box dimension | en |
dc.subject | Intermediate dimensions | en |
dc.subject | Moran set | en |
dc.subject | QA Mathematics | en |
dc.subject | T-NDAS | en |
dc.subject | NIS | en |
dc.subject | NCAD | en |
dc.subject.lcc | QA | en |
dc.title | Attainable forms of intermediate dimensions | en |
dc.type | Journal article | en |
dc.contributor.institution | University of St Andrews. Pure Mathematics | en |
dc.identifier.doi | https://doi.org/10.54330/afm.120529 | |
dc.description.status | Peer reviewed | en |
dc.identifier.url | https://arxiv.org/abs/2111.14678 | en |
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