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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| Format: | Artikel |
| Sprache: | eng |
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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. |
|---|---|
| DOI: | 10.48550/arxiv.2106.01707 |