Files in this item
The Poincaré exponent and the dimensions of Kleinian limit sets
Item metadata
dc.contributor.author | Fraser, Jonathan M. | |
dc.date.accessioned | 2023-03-11T00:41:13Z | |
dc.date.available | 2023-03-11T00:41:13Z | |
dc.date.issued | 2022 | |
dc.identifier | 278389064 | |
dc.identifier | cdec1e16-376e-4b89-af51-46c97e1befb4 | |
dc.identifier | 000767660100001 | |
dc.identifier | 85126474083 | |
dc.identifier.citation | Fraser , J M 2022 , ' The Poincaré exponent and the dimensions of Kleinian limit sets ' , The American Mathematical Monthly , vol. 129 , no. 5 , pp. 480-484 . https://doi.org/10.1080/00029890.2022.2041362 | en |
dc.identifier.issn | 0002-9890 | |
dc.identifier.other | Jisc: 173524 | |
dc.identifier.other | ORCID: /0000-0002-8066-9120/work/110423227 | |
dc.identifier.uri | https://hdl.handle.net/10023/27159 | |
dc.description | The author was financially supported by an EPSRC Standard Grant (EP/R015104/1) and a Leverhulme Trust Research Project Grant (RPG-2019-034). | en |
dc.description.abstract | Kleinian groups are discrete groups of isometries of hyperbolic space. Their actions give rise to intricate fractal limit sets on the boundary at infinity and there is great interest in estimating the “dimension” of these limit sets. As an invitation to this fascinating area, we provide a proof of the (well-known) result that the Poincaré exponent of a nonelementary Kleinian group is a lower bound for the upper box dimension of the limit set. Our proof uses only elementary hyperbolic and fractal geometry. | |
dc.format.extent | 5 | |
dc.format.extent | 227522 | |
dc.language.iso | eng | |
dc.relation.ispartof | The American Mathematical Monthly | en |
dc.subject | General Mathematics | en |
dc.subject | QA Mathematics | en |
dc.subject | AC | en |
dc.subject.lcc | QA | en |
dc.title | The Poincaré exponent and the dimensions of Kleinian limit sets | en |
dc.type | Journal item | en |
dc.contributor.sponsor | EPSRC | en |
dc.contributor.sponsor | The Leverhulme Trust | en |
dc.contributor.institution | University of St Andrews. Pure Mathematics | en |
dc.contributor.institution | University of St Andrews. Centre for Interdisciplinary Research in Computational Algebra | en |
dc.identifier.doi | 10.1080/00029890.2022.2041362 | |
dc.description.status | Peer reviewed | en |
dc.date.embargoedUntil | 2023-03-11 | |
dc.identifier.grantnumber | EP/R015104/1 | en |
dc.identifier.grantnumber | RPG-2019-034 | en |
This item appears in the following Collection(s)
Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.