Before revision:  More precisely, we  revisit the optimal transport plans constructed in \mbox{%DIFAUXCMD BrenierMartingale0pt%DIFAUXCMD , following the construction of \mbox{%DIFAUXCMD BrenierMartingale}0pt%DIFAUXCMD , as well as the one in } HobsonKlimmek2013 in the case of positive martingales and a single maximizer for the difference between the c.d.f.'s of the two marginals.
After revision:  More precisely, we first revisit the optimal transport plans constructed in \mbox{%DIFAUXCMD BrenierMartingale0pt%DIFAUXCMD , following the construction of \mbox{%DIFAUXCMD BrenierMartingale}0pt%DIFAUXCMD , as well as the one in } HobsonKlimmek2013 in the case of positive martingales and a single maximizer for the difference between the c.d.f.'s of the two marginals.