A simple formula for the Hilbert metric with respect to a sub-Gaussian cone (Q1649101)
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scientific article; zbMATH DE number 6898727
| Language | Label | Description | Also known as |
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| English | A simple formula for the Hilbert metric with respect to a sub-Gaussian cone |
scientific article; zbMATH DE number 6898727 |
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A simple formula for the Hilbert metric with respect to a sub-Gaussian cone (English)
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5 July 2018
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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.
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Hilbert metric
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Liverani's formula
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