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Large deviation principle for one-dimensional SDEs with discontinuous coefficients
Daryna D. Sobolieva Department of Probability Theory, Statistics and Actuarial Mathematics, Mechanics and Mathematics faculty, Taras Shevchenko National University of Kyiv, 6, Glushkova Prosp., Kyiv 03127, Ukraine
Аннотация:
We discuss the large deviation principle for one-dimensional SDEs with discontinuous coefficients. It is shown that the discontinuity of coefficients leads, in general, to the LDP asymptotics with a rate function which differs from the rate function in the standard Freidlin–Wentzell theorem.
Ключевые слова:
Large deviation principle, Varadhan lemma, Bryc formula, change of measure.
Образец цитирования:
Daryna D. Sobolieva, “Large deviation principle for one-dimensional SDEs with discontinuous coefficients”, Theory Stoch. Process., 18(34):2 (2012), 102–108
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/thsp34 https://www.mathnet.ru/rus/thsp/v18/i2/p102
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