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dc.contributor.authorEceizabarrena, D.
dc.date.accessioned2019-12-05T14:45:18Z
dc.date.available2019-12-05T14:45:18Z
dc.date.issued2019-11-06
dc.identifier.issn1631-073X
dc.identifier.urihttp://hdl.handle.net/20.500.11824/1047
dc.description.abstractRiemann’s non-differentiable function is a celebrated example of a continuous but almost nowhere differentiable function. There is strong numeric evidence that one of its complex versions represents a geometric trajectory in experiments related to the binormal flow or the vortex filament equation. In this setting, we analyse certain geometric properties of its image in C. The objective of this note is to assert that the Hausdorff dimension of its image is no larger than $4/3$ and that it has nowhere a tangent.en_US
dc.description.sponsorshipFPU15/03078 - Ministerio de Educación, Cultura y Deporte,en_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.titleSome geometric properties of Riemann’s non-differentiable functionen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1016/j.crma.2019.10.007
dc.relation.publisherversionhttps://doi.org/10.1016/j.crma.2019.10.007en_US
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/H2020/669689en_US
dc.relation.projectIDES/1PE/SEV-2017-0718en_US
dc.relation.projectIDEUS/BERC/BERC.2018-2021en_US
dc.rights.accessRightsinfo:eu-repo/semantics/embargoedAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US
dc.journal.titleComptes Rendus Mathematiqueen_US


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Reconocimiento-NoComercial-CompartirIgual 3.0 España
Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España