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Эта публикация цитируется в 1 научной статье (всего в 1 статье)
On a limit behavior of a one-dimensional random walk with non-integrable impurity
Andrey Pilipenkoab, Lyudmila Sakhanenkoc a National Technical University of Ukraine "Kyiv Polytechnical Institute"
b Institute of Mathematics, National Academy of Sciences of Ukraine, Kyiv, Ukraine
c Department of Probability and Statistics, Michigan State University, East Lansing, USA
Аннотация:
We consider the limit behavior of a one-dimensional symmetric random walk that is perturbed at zero. For the natural scaling of time and space the invariance principle is proved. The limit process is a skew Brownian motion.
Ключевые слова:
Skew Brownian motion, invariance principle, perturbed random walk.
Образец цитирования:
Andrey Pilipenko, Lyudmila Sakhanenko, “On a limit behavior of a one-dimensional random walk with non-integrable impurity”, Theory Stoch. Process., 20(36):2 (2015), 97–104
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/thsp105 https://www.mathnet.ru/rus/thsp/v20/i2/p97
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Страница аннотации: | 241 | PDF полного текста: | 92 | Список литературы: | 59 |
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