4.2 Article

IT(O)over-cap VERSUS STRATONOVICH: 30 YEARS LATER

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FLUCTUATION AND NOISE LETTERS
卷 11, 期 1, 页码 -

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WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S021947751240010X

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Ito stochastic calculus; Stratonovich stochastic calculus; anticipating stochastic differential equations; Brownian motion; Langevin equations; nanoscale forces

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The Ito versus Stratonovich controversy, about the correct calculus to use for integration of Langevin equations, was settled to general satisfaction some 30 years ago. Recently, however, it has started to re-emerge, following the advent of new experimental techniques. We briefly review the historical background and discuss critically some of the most recent contributions. We show that some of the new findings are not well based.

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