Karol Bołbotowski

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math.PR2025

Sharp inequalities between Zolotarev and Wasserstein distances in $P_{2} (R^{d})$

Karol BoÅbotowski, Guy BouchittÃ©

Based on a new Kantorovich-Rubinstein duality principle for the Hessian that was recently established by the two authors, we extend the Rio inequality to any dimension $d \geq 1$ wi…

math.PR2025

Bi-martingale optimal transport and its applications

Karol BoÅbotowski

We introduce a new non-linear optimal transport formulation for a pair of probability measures on $R^{d}$ sharing a common barycentre, in which admissible transference plans…

Sharp inequalities between Zolotarev and Wasserstein distances in P2​(Rd)

Bi-martingale optimal transport and its applications

Sharp inequalities between Zolotarev and Wasserstein distances in $P_{2} (R^{d})$