Geodesic
On estimates and the asymptotic behavior of nonexit probabilities of a Wiener process to a moving boundary
Sbornik. Mathematics, Tome 38 (1981) no. 4, pp. 495-505 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper the asymptotic behavior, as well as upper and lower bounds, is found for the probabilities $\mathsf P\{\sigma>T\}=\mathsf P\{|w_t|\leqslant f(t),0\leqslant t\leqslant T\}$, $\mathsf P\{\sigma>T\}=\mathsf P\{w_t\geqslant g(t),0\leqslant t\leqslant T\}$ for large classes of functions $f$ and $g$. Bibliography: 21 titles. 
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     title = {On estimates and the asymptotic behavior of nonexit probabilities of {a~Wiener} process to a~moving boundary},
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A. A. Novikov. On estimates and the asymptotic behavior of nonexit probabilities of a Wiener process to a moving boundary. Sbornik. Mathematics, Tome 38 (1981) no. 4, pp. 495-505. http://geodesic.mathdoc.fr/item/SM_1981_38_4_a3/

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