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Sixty years of fractal projections

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dc.contributor.authorFalconer, Kenneth John
dc.contributor.authorFraser, Jonathan Macdonald
dc.contributor.authorJin, Xiong
dc.contributor.editorBandt, Cristoph
dc.contributor.editorFalconer, Kenneth J.
dc.contributor.editorZähle, Martina
dc.date.accessioned2016-07-30T23:31:28Z
dc.date.available2016-07-30T23:31:28Z
dc.date.issued2015-07-31
dc.identifier.citationFalconer , K J , Fraser , J M & Jin , X 2015 , Sixty years of fractal projections . in C Bandt , K J Falconer & M Zähle (eds) , Fractal Geometry and Stochastics V . Progress in Probability , vol. 70 , Birkhauser , Basel , pp. 3-25 , Fractal Geometry and Stochastics V , Tabarz , Germany , 24/03/14 . https://doi.org/10.1007/978-3-319-18660-3 , https://doi.org/10.1007/978-3-319-18660-3_1en
dc.identifier.citationconferenceen
dc.identifier.isbn9783319186597
dc.identifier.isbn9783319186603
dc.identifier.issn1050-6977
dc.identifier.otherPURE: 157763577
dc.identifier.otherPURE UUID: 9742fba1-0e83-4575-afd5-2a597b9da7dc
dc.identifier.otherORCID: /0000-0001-8823-0406/work/58055250
dc.identifier.otherORCID: /0000-0002-8066-9120/work/58285468
dc.identifier.otherWOS: 000380554100002
dc.identifier.otherScopus: 85118445791
dc.identifier.urihttp://hdl.handle.net/10023/9231
dc.description.abstractSixty years ago, John Marstrand published a paper which, among other things, relates the Hausdorff dimension of a plane set to the dimensions of its orthogonal projections onto lines. For many years, the paper attracted very little attention. However, over the past 30 years, Marstrand’s projection theorems have become the prototype for many results in fractal geometry with numerous variants and applications and they continue to motivate leading research.
dc.format.extent23
dc.language.isoeng
dc.publisherBirkhauser
dc.relation.ispartofFractal Geometry and Stochastics Ven
dc.relation.ispartofseriesProgress in Probabilityen
dc.rightsCopyright Springer International Publishing Switzerland 2015. The final publication is available at Springer via http://dx.doi.org/10.1007/978-3-319-18660-3_1en
dc.subjectFractalsen
dc.subjectProjectionsen
dc.subjectDimensionsen
dc.subjectMeasureen
dc.subjectQA Mathematicsen
dc.subject.lccQAen
dc.titleSixty years of fractal projectionsen
dc.typeBook itemen
dc.description.versionPostprinten
dc.contributor.institutionUniversity of St Andrews. Pure Mathematicsen
dc.identifier.doihttps://doi.org/10.1007/978-3-319-18660-3
dc.date.embargoedUntil2016-07-31
dc.identifier.urlhttp://www.springer.com/gb/book/9783319186597en
dc.identifier.urlhttp://arxiv.org/pdf/1411.3156.pdfen


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