On the Structure of Multi-marginal Optimal Mass Transportation in Metric Spaces
- Artikkeli I: Gerolin, Augusto; Kausamo, Anna; Rajala, Tapio (2019). Nonexistence of Optimal Transport Maps for the Multimarginal Repulsive Harmonic Cost. SIAM Journal on Mathematical Analysis, 51 (3), 2359-2371. DOI: 10.1137/18M1186514
- Artikkeli II: Gerolin, Augusto; Kausamo, Anna; Rajala, Tapio (2019). Duality theory for multi-marginal optimal transport with repulsive costs in metric spaces. ESAIM : Control Optimisation and Calculus of Variations, 25, 62. DOI: 10.1051/cocv/2018062
- Artikkeli III: Gerolin, Augusto; Kausamo, Anna; Rajala, Tapio (2020). Multi-marginal entropy-transport with repulsive cost. Calculus of Variations and Partial Differential Equations, 59 (3), 90. DOI: 10.1007/s00526-020-01735-3
- Artikkeli IV: Kausamo, A. Multi-marginal L∞-transport. Preprint
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Bindini, Ugo; De Pascale, Luigi; Kausamo, Anna (American Institute of Mathematical Sciences (AIMS), 2022)In this paper we study the three-marginal optimal mass transportation problem for the Coulomb cost on the plane R2. The key question is the optimality of the so-called Seidl map, first disproved by Colombo and Stra. We ...
Gerolin, Augusto; Kausamo, Anna; Rajala, Tapio (Springer, 2020)In this paper we study theoretical properties of the entropy-transport functional with repulsive cost functions. We provide sufficient conditions for the existence of a minimizer in a class of metric spaces and prove the ...
Ambrosio, Luigi; Rajala, Tapio (Springer, 2014)We study optimal transportation with the quadratic cost function in geodesic metric spaces satisfying suitable non-branching assumptions. We introduce and study the notions of slope along curves and along geodesics and we ...
Schultz, Timo (Springer Berlin Heidelberg, 2018)We introduce a more restrictive version of the strict CD(K,∞) -condition, the so-called very strict CD(K,∞) -condition, and show the existence of optimal maps in very strict CD(K,∞) -spaces despite the possible ...
Electrical and thermal transport properties of semiconductor and metal structures at low temperature Kivinen, Pasi (University of Jyväskylä, 2005)