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Parametric Geometry of Numbers with General Flow

Published 3 Jun 2021 in math.DS | (2106.01707v2)

Abstract: We extend results of parametric geometry of numbers to a general diagonal flow on the space of lattices. Moreover, we compute the Hausdorff dimension of the set of trajectories with every given behavior, with respect to a nonstandard metric and thereby attain bounds on the standard ones.

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