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Zeitschrift für Analysis und ihre Anwendungen

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Volume 9, Issue 2, 1990, pp. 187–188
DOI: 10.4171/ZAA/392

Published online: 1990-04-30

A Characterization of Pobrushin’s Coefficient of Ergodicity

Rolf Kühne[1] and Adolf Rhodius[2]

(1) Technische Universität Dresden, Germany
(2) Technische Universität Dresden, Germany

It is proved that the ergodicity coefficient $\tau$ corresponding to any vector norm on $\mathbb R^n$ fulfills the inequality $\tau (P) ≤ 1$ for all $n \times n$ stochastic matrices $P$ if it is the Dobrushin ergodicity coefficient.

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Kühne Rolf, Rhodius Adolf: A Characterization of Pobrushin’s Coefficient of Ergodicity. Z. Anal. Anwend. 9 (1990), 187-188. doi: 10.4171/ZAA/392