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We determine the optimal structure of couplings for the \emph{Martingale transport problem} between radially symmetric initial and terminal laws $\mu, \nu$ on $\R^d$ and show the uniqueness of optimizer.
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D. Hobson and M. Klimmek · 2014
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Complete duality for martingale optimal transport on the line
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G. Monge
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Optimal Skorokhod embedding under finitely-many marginal constraints
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