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Erratum to: “A note on Kesten’s Choquet-Deny lemma”. (English) Zbl 1334.60138

Summary: This is an erratum to the author’s paper [ibid. 18, Paper No. 65, 7 p. (2013; Zbl 1333.60159)]. In Proposition 3.1, Condition (C) does not imply that the set \(\Lambda (\Gamma )\) generates a dense subgroup of \(\mathbb R\). This has to be made an assumption. Alternatively, one can assume that the matrices are invertible.

MSC:

60J05 Discrete-time Markov processes on general state spaces
60B20 Random matrices (probabilistic aspects)
60K15 Markov renewal processes, semi-Markov processes
60B15 Probability measures on groups or semigroups, Fourier transforms, factorization
46A55 Convex sets in topological linear spaces; Choquet theory

Citations:

Zbl 1333.60159
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