Non rectifiable delone sets in SOL and other solvable groups
Author
dc.contributor.author
Dymarz, Tullia
Author
dc.contributor.author
Navas, Andre S.
Admission date
dc.date.accessioned
2018-07-20T14:19:53Z
Available date
dc.date.available
2018-07-20T14:19:53Z
Publication date
dc.date.issued
2018
Cita de ítem
dc.identifier.citation
Indiana University Mathematics Journal, 67 (1): 89-118
es_ES
Identifier
dc.identifier.issn
1943-5258
Identifier
dc.identifier.uri
https://repositorio.uchile.cl/handle/2250/150087
Abstract
dc.description.abstract
Given a lattice Gamma subset of SOL, we show there is a uniformly discrete coarsely dense subset D subset of Gamma that is not bi-Lipschitz equivalent to Gamma. We also prove similar results for lattices in certain higher rank abelian-by-abelian groups and for the solvable Baumslag-Solitar groups.
es_ES
Patrocinador
dc.description.sponsorship
National Science Foundation
DMS-1207296
CONICYT's Anillo Research Project
1103 DySyRF
CNRS
UMR 8628
ERC
257110 RaWG