TY - JOUR
T1 - Erratum to
T2 - "Ergodicity and exponential β -mixing bound for multidimensional diffusions with jumps" [Stochastic Process. Appl. 117 (2007) 35-56] (DOI:10.1016/j.spa.2006.04.010)
AU - Masuda, Hiroki
PY - 2009/2
Y1 - 2009/2
N2 - 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).
AB - 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).
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U2 - 10.1016/j.spa.2008.02.010
DO - 10.1016/j.spa.2008.02.010
M3 - Comment/debate
AN - SCOPUS:59049086894
SN - 0304-4149
VL - 119
SP - 676
EP - 678
JO - Stochastic Processes and their Applications
JF - Stochastic Processes and their Applications
IS - 2
ER -