On the entropy of Hilbert Geometries of Low Regularities
Metric Geometry
2020-01-10 v2
Abstract
We compare the regularity of the boundary of a convex set with the value of its Finslerian volume entropy. The main result states that the volume entropy of a two-dimensional domain whose associated curvature measure is Ahlfors -regular is .
Keywords
Cite
@article{arxiv.1612.02974,
title = {On the entropy of Hilbert Geometries of Low Regularities},
author = {Jan Cristina and Louis Merlin},
journal= {arXiv preprint arXiv:1612.02974},
year = {2020}
}
Comments
Complete rewriting