2 citations · 2 across the 6 of their papers we have counts for
6 papers
Kirszbraun extensions preserving uniform distance in Hilbert spaces
Krzysztof J. Ciosmak
Let be a subset of a real Hilbert space and let , where is a real Hilbert space. We prove that the following conditions are equivalent: whenever $A\subset X…
Localisation for the second-order Beckmann problem: bimartingale couplings and leaf decompositions
Krzysztof J. Ciosmak
We develop a second-order localisation theory for optimal transport based on leaf decompositions and bimartingale couplings. It provides a second-order analogue of the classical de…
Corrigendum to "Applications of Strassen's theorem and Choquet theory to optimal transport problems, to uniformly convex functions and to uniformly smooth functions"
Krzysztof Jan Ciosmak
In [K.J. Ciosmak, Applications of Strassen's theorem and Choquet theory to optimal transport problems, to uniformly convex functions and to uniformly smooth functions, Nonlinear An…
Continuity of extensions of Lipschitz maps and of monotone maps
Krzysztof J. Ciosmak
Let be a subset of a Hilbert space. We prove that if is such that \begin{equation*} \Big\lVert v(x)-\sum_{i=1}^m t_iv(x_i)\Big\rVert\leq \Big\lVert…
Localisation for constrained transports II: applications
Krzysztof J. Ciosmak
We present a range of applications of localisation for constrained transports for pairs of probability measures in order with respect to a lattice cone. These examples comprise irr…
Localisation for constrained transports I: theory
Krzysztof J. Ciosmak
We investigate an analogue of the irreducible convex paving in the context of generalised convexity. Consider two Radon probability measures ordered with respect to a cone $\…