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math.MG2013
Birkhoff's version of Hilbert's metric and its applications in analysis
Bas Lemmens, Roger Nussbaum
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 "Han…
math.MG2004★ 8 cited
A Metric Inequality for the Thompson and Hilbert Geometries
Cormac Walsh, Roger D. Nussbaum
There are two natural metrics defined on an arbitrary convex cone: Thompson's part metric and Hilbert's projective metric. For both, we establish an inequality giving information a…