Before revision:  \mbox{%DIFAUXCMD aksamit/choulli/deng/jeanblanc ]  the part after the random time under consideration.
After revision:  \mbox{%DIFAUXCMD aksamit/choulli/deng/jeanblanc ] in which the authors studied similar topics for the case of stopping at the random time instead, while herein we are concerned with the part after the random time under consideration.