A simple formula for the Hilbert metric with respect to a sub-Gaussian cone

DOI10.3390/math6030035zbMath1391.37004OpenAlexW2794270838MaRDI QIDQ1649101

Stéphane Chrétien, Juan-Pablo Ortega

Publication date: 5 July 2018

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/math6030035

zbMATH Keywords

Hilbert metricLiverani's formula

Mathematics Subject Classification ID

Computational methods in Markov chains (60J22) Ergodic theorems, spectral theory, Markov operators (37A30) Linear operators on function spaces (general) (47B38)

Cites Work

• Unnamed Item
• Stability and uniform approximation of nonlinear filters using the Hilbert metric and application to particle filters
• Asymptotics of controlled finite memory filters.
• Birkhoff cones, symbolic dynamics and spectrum of transfer operators
• Decay of correlations
• Ergodicity of hidden Markov models
• Extensions of Jentzsch's Theorem
• The Contraction Mapping Approach to the Perron-Frobenius Theory: Why Hilbert's Metric?

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