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math.FA2013
Dobrushin's ergodicity coefficient for Markov operators on cones
Stephane Gaubert, Zheng Qu
We give a characterization of the contraction ratio of bounded linear maps in Banach space with respect to Hopf's oscillation seminorm, which is the infinitesimal distance associat…
math.OA2013★ 4 cited
Dobrushin ergodicity coefficient for Markov operators on cones, and beyond
Stéphane Gaubert, Zheng Qu
The analysis of classical consensus algorithms relies on contraction properties of adjoints of Markov operators, with respect to Hilbert's projective metric or to a related family…