Random Affine Lattices
classification
🧮 math.NT
math.PR
keywords
affineboundholeslargeprobabilityrandomchosendiscuss
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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.
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