Two properties of volume growth entropy in Hilbert geometry

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.

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Source https://hal.science/hal-00711369
Author Colbois, Bruno, Verovic, Patrick
Maintainer CCSD
Last Updated May 9, 2026, 02:42 (UTC)
Created May 9, 2026, 02:42 (UTC)
Identifier hal-00711369
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Institut de Mathématiques (UNINE) ; Université de Neuchâtel = University of Neuchatel (UNINE)
creator Colbois, Bruno
date 2013-11-07T00:00:00
harvest_object_id 9deb43ae-b51d-4dd4-bea6-020268715f02
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2025-09-27T00:00:00
relation info:eu-repo/semantics/altIdentifier/arxiv/1206.5465
set_spec type:UNDEFINED