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Ten penalisation results of Brownian motion involving its one-sided supremum until first and last passage times, VIII (2008)

Abstract
We penalise Brownian motion by a function of its one-sided supremum considered up to the last zero before $t$, resp. first zero after $t$, of that Brownian motion. This study presents some analogy with penalisation by the longest length of Brownian excursions, up to time $t$.

Publication details
Download http://hal.archives-ouvertes.fr/hal-00275170/en/
Publisher HAL - CCSD
Repository CCSd/HAL : e-articles server (based on gBUS) (France)
Keywords Mathematics/Probability, Penalisations of Brownian paths, one-sided supremum, last and first zeroes before and after a fixed time $t$
Language English
Relation http://hal.archives-ouvertes.fr/docs/00/27/51/70/PDF/2008-21.pdf