Correction to: On invariant distributions of Feller Markov chains with applications to dynamical systems with random switching (Probability Theory and Related Fields, (2025), 192, 3-4, (1283-1324), 10.1007/s00440-024-01307-y)

Page 4. The correct upper bound on (I-Δ)-1(x,M) is (Formula presented.) This has no affect on the rest of the paper. Page 11. An assumption is missing in Theorem 2.11. The correct statement is : Let C(M) be a convex cone stable by monotone convergence. Suppose that C(M)P⊂C(M) and that P possesses an accessible weak Doeblin point with a minorizing measure π∈C(M) such that for all μ∈C(M), (Formula presented.) Then P has a unique invariant probability measure Π and Π∈C(M). This has no affect on the rest of the paper. In the proof of Theorem 4.4 where this result is used, it suffices to observe that the measure π given by (21) is bounded below by a (nonnegative and nontrivial) measure π′ having a continuous density so that Theorem 2.11 applies with π′.