50 citations · 170 across the 16 of their papers we have counts for
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The max-plus Martin boundary
Marianne Akian, Stephane Gaubert, Cormac Walsh
We develop an idempotent version of probabilistic potential theory. The goal is to describe the set of max-plus harmonic functions, which give the stationary solutions of determini…
Discrete max-plus spectral theory
Marianne Akian, Stephane Gaubert, Cormac Walsh
We develop a max-plus spectral theory for infinite matrices. We introduce recurrence and tightness conditions, under which many results of the finite dimensional theory, concerning…
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…