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- W1750207996 abstract "Consider a symmetric $alpha$-stable Levy process with $alphain (1,2)$. We study shifted small ball probabilities for these processes in the uniform topology, when the shift function is an arbitrary continuous function which starts at 0. We obtain the exact rate of decrease for these probabilities including constants. Using these small ball estimates, we obtain a functional LIL for $alpha$-stable Levy process with attracting functions that are continuous. It occurs that the limit set for the family of renormalized $alpha$-stable Levy processes is equal to the set of all continuous functions on $[0,1]$ which start at 0, under certain choice of normalizing functions." @default.
- W1750207996 created "2016-06-24" @default.
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- W1750207996 date "2008-11-17" @default.
- W1750207996 modified "2023-09-27" @default.
- W1750207996 title "Shifted small deviations and Chung LIL for symmetric alpha-stable processes" @default.
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