Abstract
In J. Villarroel “Killed random processes and heat kernels” (Vol. 144, No. 2, August, 2005) on page 1238, the sentence before (2) should be:
“We suppose that given that \(\hat B_t = x \in \mathbb{R}\) (\(\hat B_t\) took a value x and hence has not yet been killed), the probability of being killed at any time t + h > t is O(h) ....”
On page 1239, the expression for ζ(t; p|x′) after Eq. (6) should be:
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The online version of the original article can be found at http://dx.doi.org/10.1007/s11232-005-0155-1
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 145, No. 1, p. 144, October, 2005.
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Villarroel, J. Killed Random Processes and Heat Kernels [Erratum]. Theor Math Phys 145, 1493 (2005). https://doi.org/10.1007/s11232-005-0175-x
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DOI: https://doi.org/10.1007/s11232-005-0175-x