Some limits for the Laplace transform of the Brownian motion's first hit to a linear function
Serdica Mathematical Journal, Tome 50 (2024) no. 2, pp. 183-202
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The aim of this short note is to examine some limits related to the Laplace transform of the Brownian motion before its first hit to a linear boundary.
Keywords:
Brownian motion, stopping times, first hitting, Laplace transform, 42A38, 60G40, 60J65
@article{SMJ2_2024_50_2_a0,
author = {Zaevski, Tsvetelin},
title = {Some limits for the {Laplace} transform of the {Brownian} motion's first hit to a linear function},
journal = {Serdica Mathematical Journal},
pages = {183--202},
publisher = {mathdoc},
volume = {50},
number = {2},
year = {2024},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SMJ2_2024_50_2_a0/}
}
TY - JOUR AU - Zaevski, Tsvetelin TI - Some limits for the Laplace transform of the Brownian motion's first hit to a linear function JO - Serdica Mathematical Journal PY - 2024 SP - 183 EP - 202 VL - 50 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SMJ2_2024_50_2_a0/ LA - en ID - SMJ2_2024_50_2_a0 ER -
Zaevski, Tsvetelin. Some limits for the Laplace transform of the Brownian motion's first hit to a linear function. Serdica Mathematical Journal, Tome 50 (2024) no. 2, pp. 183-202. http://geodesic.mathdoc.fr/item/SMJ2_2024_50_2_a0/