A simple formula for the Hilbert metric with respect to a sub-Gaussian cone
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.
scientific article; zbMATH DE number 6898727