Separated nets arising from certain higher rank $\mathbb{R}^k$ actions on homogeneous spaces

Changguang Dong

doi:10.3934/dcds.2017180

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2017, Volume 37, Issue 8: 4231-4238. Doi: 10.3934/dcds.2017180

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Separated nets arising from certain higher rank $\mathbb{R}^k$ actions on homogeneous spaces

Changguang Dong

Department of Mathematics, The Pennsylvania State University, University Park, PA 16802, USA

Received: December 2016

Revised: March 2017

Published: May 2017

Research was partially supported by NSF grant DMS 1304830.

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Abstract

We prove that separated net arising from certain higher rank $\mathbb R.k$ actions on homogeneous spaces is bi-Lipschitz equivalent to a lattice.

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Mathematics Subject Classification: Primary: 37C85, 37A17.

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References

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