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Corrections to
“Heat kernel upper bounds for jump processes and the first exit time” by M.T. Barlow, A. Grigor’yan and T. Kumagai
Page 152, (3.3): e Hs is missing in the integrant. The right formula is the following:
Px(Xt2B) =Px(Yt2B, T1 > t) +Ex Z t
0
Z
B
rt s(Ys, z)e HsN(Ys)µ(dz)ds.
Page 153, Line 9: e Hs is missing in the integrant. The right formula is the following:
Px(Xt2B|F1Y) = 1{Xt2B}e Ht +Z t
0
rt s(Ys, B)e HsN(Ys)ds.
1
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