Hiroki Masuda, Graduate School of Mathematics, Kyushu University, presented an erratum on ergodicity and exponential β-mixing bound for multidimensional diffusions with jumps. He clarified that in assumption 2(a), a bounded transition density of Yu△ was supposed to exist, however, X△ was actually needed. In the proof of Lemma 2.4(i) q ∈ (0, 1) from the beginning, although the condition Lemma 2.4(i) contains q possibly lying in [1,2); this point does not affect Lemma 2.4(ii), while the assertion Af(x) ≥ Gf(x) + 0(1) fails. This point is needed to be modified. Moreover, the proof of Lemma 2.5 contains some mistakes in estimating J* f(x): what should be J* f(x).
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Modelling and Simulation
- Applied Mathematics