Karol Bołbotowski

activity

20202025

most citedOptimal design versus maximal Monge-Kantorovich metrics

8 citations · 10 across the 6 of their papers we have counts for

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4 papers · 1 filter

math.PR2025

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

Karol Bołbotowski, Guy Bouchitté

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 Bołbotowski

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…

cs.CE2025

Topology and geometry optimization of grid-shells under self-weight loading

Helen E. Fairclough, Karol Bolbotowski, Linwei He +2

This manuscript presents an approach for simultaneously optimizing the connectivity and elevation of grid-shell structures acting in pure compression (or pure tension) under the co…

math.OC2025

The Isotropic Material Design methods with the cost expressed by the $L^{p}$ -norm

Karol Bołbotowski, Sławomir Czarnecki, Tomasz Lewiński

The paper concerns the problem of minimization of the compliance of linear elastic structures made of an isotropic material. The bulk and shear moduli are the design variables, bot…

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

Bi-martingale optimal transport and its applications

Topology and geometry optimization of grid-shells under self-weight loading

The Isotropic Material Design methods with the cost expressed by the Lp-norm

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

The Isotropic Material Design methods with the cost expressed by the $L^{p}$ -norm