• Corpus ID: 235265729

# A separation lemma on sub-lattices

@inproceedings{Wang2021ASL,
title={A separation lemma on sub-lattices},
author={W.-M. Wang},
year={2021}
}
• W. Wang
• Published 1 June 2021
• Mathematics
We prove that Bourgain’s separation lemma, Lemma 20.14 [B2] holds at fixed frequencies and their neighborhoods, on sub-lattices, sub-modules of the dual lattice associated with a quasi-periodic Fourier series in two dimensions. And by extension holds on the affine spaces. Previously Bourgain’s lemma was not deterministic, and is valid only for a set of frequencies of positive measure. The new separation lemma generalizes classical lattice partition-type results to the hyperbolic Lorentzian…
1 Citations
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