A simple formula for the Hilbert metric with respect to a sub-Gaussian cone
type: Item
instance of: scholarly article
title: A simple formula for the Hilbert metric with respect to a sub-Gaussian cone
zbMATH Open document ID: 1391.37004
author: Stéphane Chrétien
author: Juan-Pablo Ortega
published in: Mathematics
publication date: 2018-07-05T00:00:00Z
review text: Summary: The Hilbert metric is a widely used tool for analysing the convergence of Markov processes and the ergodic properties of deterministic dynamical systems. A useful representation formula for the Hilbert metric was given by \textit{C. Liverani} [Ann. Math. (2) 142, No. 2, 239--301 (1995; Zbl 0871.58059)]. The goal of the present paper is to extend this formula to the non-compact and multidimensional setting with a different cone, taylored for sub-Gaussian tails.
Mathematics Subject Classification ID: 37A30
Mathematics Subject Classification ID: 47B38
Mathematics Subject Classification ID: 60J22
zbMATH DE Number: 6898727
zbMATH Keywords: Hilbert metric
zbMATH Keywords: Liverani's formula
MaRDI profile type: Publication
full work available at URL: math6030035
OpenAlex ID: W2794270838
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DOI: 10.3390/MATH6030035
description: scientific article; zbMATH DE number 6898727