Nowhere differentiable intrinsic Lipschitz graphs

Julia, Antoine; Nicolussi Golo, Sebastiano; Vittone, Davide

doi:10.1112/blms.12540

dc.contributor.author	Julia, Antoine
dc.contributor.author	Nicolussi Golo, Sebastiano
dc.contributor.author	Vittone, Davide
dc.date.accessioned	2021-09-27T07:36:55Z
dc.date.available	2021-09-27T07:36:55Z
dc.date.issued	2021
dc.identifier.citation	Julia, A., Nicolussi Golo, S., & Vittone, D. (2021). Nowhere differentiable intrinsic Lipschitz graphs. <i>Bulletin of the London Mathematical Society</i>, <i>53</i>(6), 1766-1775. <a href="https://doi.org/10.1112/blms.12540" target="_blank">https://doi.org/10.1112/blms.12540</a>
dc.identifier.other	CONVID_101161744
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/77910
dc.description.abstract	We construct intrinsic Lipschitz graphs in Carnot groups with the property that, at every point, there exist infinitely many different blow-up limits, none of which is a homogeneous subgroup. This provides counterexamples to a Rademacher theorem for intrinsic Lipschitz graphs.	en
dc.format.mimetype	application/pdf
dc.language.iso	eng
dc.publisher	Wiley
dc.relation.ispartofseries	Bulletin of the London Mathematical Society
dc.rights	CC BY 4.0
dc.title	Nowhere differentiable intrinsic Lipschitz graphs
dc.type	article
dc.identifier.urn	URN:NBN:fi:jyu-202109274979
dc.contributor.laitos	Matematiikan ja tilastotieteen laitos	fi
dc.contributor.laitos	Department of Mathematics and Statistics	en
dc.contributor.oppiaine	Matematiikka	fi
dc.contributor.oppiaine	Mathematics	en
dc.type.uri	http://purl.org/eprint/type/JournalArticle
dc.type.coar	http://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatus	peerReviewed
dc.format.pagerange	1766-1775
dc.relation.issn	0024-6093
dc.relation.numberinseries	6
dc.relation.volume	53
dc.type.version	publishedVersion
dc.rights.copyright	© 2021 The Authors. Bulletin of the London Mathematical Society is copyright © London Mathematical Society.
dc.rights.accesslevel	openAccess	fi
dc.relation.grantnumber	322898
dc.subject.yso	differentiaaligeometria
dc.subject.yso	ryhmäteoria
dc.format.content	fulltext
jyx.subject.uri	http://www.yso.fi/onto/yso/p16682
jyx.subject.uri	http://www.yso.fi/onto/yso/p12497
dc.rights.url	https://creativecommons.org/licenses/by/4.0/
dc.relation.doi	10.1112/blms.12540
dc.relation.funder	Research Council of Finland	en
dc.relation.funder	Suomen Akatemia	fi
jyx.fundingprogram	Academy Project, AoF	en
jyx.fundingprogram	Akatemiahanke, SA	fi
jyx.fundinginformation	AJ has been supported by the Simons Foundation Wave Project. SNG has been supported by the Academy of Finland (grant 322898 ‘Sub-Riemannian Geometry via Metric-geometry and Lie-group Theory'). DV has been supported by FFABR 2017 of MIUR (Italy) and by GNAMPA of INdAM (Italy). All three authors have been supported by the University of Padova STARS Project ‘Sub-Riemannian Geometry and Geometric Measure Theory Issues: Old and New’
dc.type.okm	A1