Geodesic
Asymptotic behavior of the mean sojourn time for a random walk to be in a domain of large deviations
Matematičeskie trudy, Tome 22 (2019) no. 2, pp. 3-20.

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We study the asymptotic behavior of the mean of sojourn time for a homogeneous random walk defined on $[0,n]$ to be above a receding curvilinear boundary in a domain of large deviations under Cramér's condition on the jump distribution. 
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I. S. Borisov; E. I. Shefer. Asymptotic behavior of the mean sojourn time for a random walk to be in a domain of large deviations. Matematičeskie trudy, Tome 22 (2019) no. 2, pp. 3-20. http://geodesic.mathdoc.fr/item/MT_2019_22_2_a0/

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