| Abstract: |
| The It\^o vs Stratonovich dilemma is a venerable topic within the field of applied stochastic analysis. It has generated many debates over several decades even after its broadly accepted resolution. We will re-examine this dilemma and one aspect of its resolution: the claim that one can easily pass from one noise interpretation to another by means of a simple transformation. We will show several examples of applied interest in which this is not the case; in fact, the long-time properties of the formally transformed models differ from those of the original ones. |
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