Parametric Geometry of Numbers with General Flow

Omri Nisan Solan

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arXiv · 2106.01707

Parametric Geometry of Numbers with General Flow

Omri Nisan Solan

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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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Omri Nisan Solan. 2021-06-03. Parametric Geometry of Numbers with General Flow. https://arxiv.org/abs/2106.01707

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