2 citations · 5 across the 7 of their papers we have counts for
10 papers
Convergence of metric measure spaces via embeddings in the Urysohn universal space
Milica Caković, Enrico Pasqualetto, Timo Schultz
We study different notions of convergence of metric measure spaces by means of isometric embeddings into the Urysohn universal metric space . Due to the universality of…
Continuity equation on metric spaces via measure-valued derivations and BV-Wasserstein curves
Ehsan Abedi, Zhenhao Li, Timo Schultz
We introduce a notion of continuity equation on metric spaces that is capable of describing curves of probability measures which are absolutely continuous, and more generally of bo…
Absolutely continuous and BV-curves in 1-Wasserstein spaces
Ehsan Abedi, Zhenhao Li, Timo Schultz
We extend the result of Lisini (Calc Var Partial Differ Equ 28:85-120, 2007) on the superposition principle for absolutely continuous curves in -Wasserstein spaces to the specia…
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…