English

Two properties of volume growth entropy in Hilbert geometry

Metric Geometry 2013-11-11 v2

Abstract

The aim of this paper is to provide two examples in Hilbert geometry which show that volume growth entropy is not always a limit on the one hand, and that it may vanish for a non-polygonal domain in the plane on the other hand.

Keywords

Cite

@article{arxiv.1206.5465,
  title  = {Two properties of volume growth entropy in Hilbert geometry},
  author = {Bruno Colbois and Patrick Verovic},
  journal= {arXiv preprint arXiv:1206.5465},
  year   = {2013}
}