234 citations · 352 across the 8 of their papers we have counts for
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math.SP2001
Spectral Theorem for Convex Monotone Homogeneous Maps, and Ergodic Control
Marianne Akian, Stephane Gaubert
We consider convex maps f:R^n -> R^n that are monotone (i.e., that preserve the product ordering of R^n), and nonexpansive for the sup-norm. This includes convex monotone maps that…
math.FA2001
The Perron-Frobenius Theorem for Homogeneous, Monotone Functions
Stephane Gaubert, Jeremy Gunawardena
If A is a nonnegative matrix whose associated directed graph is strongly connected, the Perron-Frobenius theorem asserts that A has an eigenvector in the positive cone, (R^+)^n. We…