In our recent paper,1 due to a regrettable and rather trivial mistake, a term is missing in expression (6) for the Ito Laplacian. The correct formula is, of course, (Formula Presented) (The reader is alerted that the same mistake found its way into the recent review paper by one of the authors.2) This error has no consequence on our general discussion-conducted in terms of the δ operator- except for Sec. VIII (see below); but it does affect the specific computations occurring in concrete examples and some side remarks. In particular, the following simple amendments should be inserted in the paper as a consequence to the error in Eq. (6): (Formula Presented).
Erratum: Random Lie-point symmetries of stochastic differential equations (Journal of Mathematical Physics (2017) 58 (053503) DOI: 10.1063/1.4982639) / G. Gaeta, F. Spadaro. - In: JOURNAL OF MATHEMATICAL PHYSICS. - ISSN 0022-2488. - 58:12(2017 Dec). [10.1063/1.5012089]
Erratum: Random Lie-point symmetries of stochastic differential equations (Journal of Mathematical Physics (2017) 58 (053503) DOI: 10.1063/1.4982639)
G. GaetaCo-primo
;
2017
Abstract
In our recent paper,1 due to a regrettable and rather trivial mistake, a term is missing in expression (6) for the Ito Laplacian. The correct formula is, of course, (Formula Presented) (The reader is alerted that the same mistake found its way into the recent review paper by one of the authors.2) This error has no consequence on our general discussion-conducted in terms of the δ operator- except for Sec. VIII (see below); but it does affect the specific computations occurring in concrete examples and some side remarks. In particular, the following simple amendments should be inserted in the paper as a consequence to the error in Eq. (6): (Formula Presented).File | Dimensione | Formato | |
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