Parametric Geometry of Numbers with General Flow
Dynamical Systems
2021-07-27 v2
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.
Cite
@article{arxiv.2106.01707,
title = {Parametric Geometry of Numbers with General Flow},
author = {Omri Nisan Solan},
journal= {arXiv preprint arXiv:2106.01707},
year = {2021}
}