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Let be the first exit time of
iterated Brownian motion from a domain
started at and let be its
distribution. In this paper
we establish the exact asymptotics of
over bounded domains as an improvement of the results in
DeBlassie (2004) [DeBlassie, Ann. Appl. Prob.14 (2004) 1529–1558] and Nane (2006) [Nane, Stochastic Processes Appl.116
(2006) 905–916], for
where . Here λD is the
first eigenvalue of the Dirichlet Laplacian in
D, and ψ is the eigenfunction corresponding...
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