Parametric Geometry of Numbers with General Flow

Parametric Geometry of Numbers with General Flow

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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Veröffentlicht in:arXiv.org 2021-07
1. Verfasser: Omri Nisan Solan
Format: Artikel
Sprache:eng
Schlagworte:
Lattices
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Zusammenfassung: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.
ISSN:2331-8422