Birkhoff's version of Hilbert's metric and its applications in analysis

2013/04/30 by Bas Lemmens, Lemmens, Bas, Roger D. Nussbaum +1 · 3 citations
Mathematics · #47H09 #53C60 #54H20 #Advanced Differential Equations and Dynamical Systems #FOS: Mathematics #Functional Equations Stability Results #Mathematics and Applications #Metric Geometry (math.MG)

paper · pdf · doi:10.48550/arxiv.1304.7921

openalex publication_date 2013/04/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This is a survey article concerning applications of Hilbert's metric in the analysis and dynamics of linear and nonlinear mappings on cones. It will appear as a chapter in the "Handbook of Hilbert geometry", ed. G. Besson, A. Papadopoulos and M. Troyanov, European Mathematical Society Publishing House, Zürich.

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• Hilbert geometry of the symmetric positive-definite bicone: Application to the geometry of the extended Gaussian family
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