Mario Abundo
Published 2016-04-05Version 1
By using the law of the excursions of Brownian motion with drift, we find the distribution of the $n-$th passage time of Brownian motion through a straight line $S(t)= a + bt.$ In the special case when $b = 0,$ we extend the result to a space-time transformation of Brownian motion.
Comments: 4 figures, accepted for publication in Physica A
On the joint distribution of first-passage time and first-passage area of drifted Brownian motion
On the the successive passage times of certain one-dimensional diffusions
Quasi-Limiting Behavior of Drifted Brownian Motion
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