Non rectifiable delone sets in SOL and other solvable groups
Non-rectifiable-delone-sets.pdf (427.5Kb)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.
Patrocinador
National Science Foundation
DMS-1207296
CONICYT's Anillo Research Project
1103 DySyRF
CNRS
UMR 8628
ERC
257110 RaWG
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Artículo de publicación ISI
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Indiana University Mathematics Journal, 67 (1): 89-118
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