Rigidity, counting and equidistribution of quaternionic Cartan chains

Parkkonen, Jouni; Paulin, Frédéric

doi:10.5802/ambp.399

dc.contributor.author	Parkkonen, Jouni
dc.contributor.author	Paulin, Frédéric
dc.date.accessioned	2022-01-26T07:14:11Z
dc.date.available	2022-01-26T07:14:11Z
dc.date.issued	2022
dc.identifier.citation	Parkkonen, J., & Paulin, F. (2022). Rigidity, counting and equidistribution of quaternionic Cartan chains. <i>Annales Mathematiques Blaise Pascal</i>, <i>28</i>(1), 45-69. <a href="https://doi.org/10.5802/ambp.399" target="_blank">https://doi.org/10.5802/ambp.399</a>
dc.identifier.other	CONVID_103972506
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/79527
dc.description.abstract	In this paper, we prove an analog of Cartan’s theorem, saying that the chain-preserving transformations of the boundary of the quaternionic hyperbolic spaces are projective transformations. We give a counting and equidistribution result for the orbits of arithmetic chains in the quaternionic Heisenberg group.	en
dc.format.mimetype	application/pdf
dc.language.iso	eng
dc.publisher	Universite Clermont Auvergne
dc.relation.ispartofseries	Annales Mathematiques Blaise Pascal
dc.rights	CC BY 4.0
dc.subject.other	counting
dc.subject.other	equidistribution
dc.subject.other	Cartan chain
dc.subject.other	quaternionic Heisenberg group
dc.subject.other	Cygan distance
dc.subject.other	sub-Riemannian geometry
dc.subject.other	quaternionic hyperbolic geometry
dc.title	Rigidity, counting and equidistribution of quaternionic Cartan chains
dc.type	article
dc.identifier.urn	URN:NBN:fi:jyu-202201261298
dc.contributor.laitos	Matematiikan ja tilastotieteen laitos	fi
dc.contributor.laitos	Department of Mathematics and Statistics	en
dc.contributor.oppiaine	Analyysin ja dynamiikan tutkimuksen huippuyksikkö	fi
dc.contributor.oppiaine	Matematiikka	fi
dc.contributor.oppiaine	Analysis and Dynamics Research (Centre of Excellence)	en
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	45-69
dc.relation.issn	1259-1734
dc.relation.numberinseries	1
dc.relation.volume	28
dc.type.version	publishedVersion
dc.rights.copyright	© 2022 the Authors
dc.rights.accesslevel	openAccess	fi
dc.subject.yso	differentiaaligeometria
dc.subject.yso	ryhmäteoria
dc.subject.yso	lukuteoria
dc.subject.yso	aritmetiikka
dc.format.content	fulltext
jyx.subject.uri	http://www.yso.fi/onto/yso/p16682
jyx.subject.uri	http://www.yso.fi/onto/yso/p12497
jyx.subject.uri	http://www.yso.fi/onto/yso/p1988
jyx.subject.uri	http://www.yso.fi/onto/yso/p3159
dc.rights.url	https://creativecommons.org/licenses/by/4.0/
dc.relation.doi	10.5802/ambp.399
dc.type.okm	A1