1 citations · 3 across the 4 of their papers we have counts for
6 papers · 1 filter
On master test plans for the space of BV functions
Francesco Nobili, Enrico Pasqualetto, Timo Schultz
We prove that on an arbitrary metric measure space a countable collection of test plans is sufficient to recover all functions and their total variation measures. In the s…
Ultralimits of pointed metric measure spaces
Enrico Pasqualetto, Timo Schultz
The aim of this paper is to study ultralimits of pointed metric measure spaces (possibly unbounded and having infinite mass). We prove that ultralimits exist under mild assumptions…
On one-dimensionality of metric measure spaces
Timo Schultz
In this paper, we prove that a metric measure space which has at least one open set isometric to an interval, and for which the (possibly non-unique) optimal transport map exists f…
Equivalent definitions of very strict -spaces
Timo Schultz
We show the equivalence of the definitions of very strict -condition defined, on one hand, using (only) the entropy functionals, and on the other, the full displacement c…
Optimal transport maps on Alexandrov spaces revisited
Tapio Rajala, Timo Schultz
We give an alternative proof for the fact that in -dimensional Alexandrov spaces with curvature bounded below there exists a unique optimal transport plan from any purely $(n-1)…
Existence of optimal transport maps in very strict -spaces
Timo Schultz
We introduce a more restrictive version of the strict -condition, the so-called very strict -condition, and show the existence of optimal maps in very…