Papers
Topics
Authors
Recent
Gemini 2.5 Flash
Gemini 2.5 Flash
149 tokens/sec
GPT-4o
9 tokens/sec
Gemini 2.5 Pro Pro
47 tokens/sec
o3 Pro
4 tokens/sec
GPT-4.1 Pro
38 tokens/sec
DeepSeek R1 via Azure Pro
28 tokens/sec
2000 character limit reached

On sequences of projections of the cubic lattice (1110.2995v2)

Published 13 Oct 2011 in math.CO, cs.CG, cs.IT, and math.IT

Abstract: In this paper we study sequences of lattices which are, up to similarity, projections of $\mathbb{Z}{n+1}$ onto a hyperplane $\bm{v}{\perp}$, with $\bm{v} \in \mathbb{Z}{n+1}$ and converge to a target lattice $\Lambda$ which is equivalent to an integer lattice. We show a sufficient condition to construct sequences converging at rate $O(1/ |\bm{v}|{2/n})$ and exhibit explicit constructions for some important families of lattices.

Citations (19)

Summary

We haven't generated a summary for this paper yet.