Publications
K. Ciosmak, Optimal transport and 1-Lipschitz maps, 2020, D.Phill thesis, University of Oxford.
K. Ciosmak, Leaves decompositions in Euclidean spaces, 2021, Journal de Mathématiques Pures et Appliquées, vol. 154 (Oct. 2021), pp. 212-244, available also on arXiv.
K. Ciosmak, Optimal transport of vector measures, 2021, Calculus of Variations and Partial Differential Equations, vol. 60, 230 (2021), available also on arXiv.
K. Ciosmak, Continuity of extensions of Lipschitz maps, 2021, Israel Journal of Mathematics, (2021), 1-22, available also on arXiv.
K. Ciosmak, Matrix Hölder's inequality and divergence formulation of optimal transport of vector measures, 2021, SIAM Journal on Mathematical Analysis, 53(6), 6932–6958 (27 pages), available also on arXiv.
K. Ciosmak, Differentiable functions on modules and the equation grad(w)=Mgrad(v), 2022, Algebra i Analiz, 34:2 (2022), 185–230, available also on arXiv.
K. Ciosmak, Differentiable functions on modules and the equation grad(w)=Mgrad(v), St. Petersburg Math. J. 34 (2023), 271-303, available also on arXiv.
K. Ciosmak, Applications of Strassen's theorem and Choquet theory to optimal transport problems, to uniformly convex and to uniformly smooth functions, 2023, Nonlinear Analysis, Volume 232, July 2023, 113267, available also on arXiv.
K. Ciosmak, Corrigendum to 'Applications of Strassen's theorem and Choquet theory to optimal transport problems, to uniformly convex and to uniformly smooth functions', 2024, Nonlinear Analysis, Volume 244, July 2024, 113542, available also on arXiv.
Preprints
K. Ciosmak, Cartan--Thullen theorem and Levi problem in context of generalised convexity, 2023, pp. 25, available also on arXiv.
K. Ciosmak, Localisation for constrained transports I: theory, 2023, pp. 69, earlier version available on arXiv.
K. Ciosmak, Localisation for constrained transports II: applications, 2023, pp. 31, earlier version available also on arXiv.
K. Ciosmak, Continuity of extensions of Lipschitz maps and of monotone maps, 2024. pp. 20, available also on arXiv.