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Random Affine Lattices

We give a bound on the probability that a randomly chosen affine unimodular lattice has large holes, and a similar bound on the probability of large holes in the spectrum of a random flat torus. We discuss various motivations and generalizations, and state several open questions.

4 nodes3 linksoverview mapRandom Affine Lattices
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4 nodes3 links
Random Affine Lattices4 visible / 4 total nodes / 3 links
AuthorshipTopic signalTopic signalWRandom Affine Latticespreprint / 2014AJayadev S. AthreyaResearcherTmath.PR7239 worksTmath.NT5493 works
PaperSignal 103 links

Random Affine Lattices

preprint / 2014

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