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math-ph2023
Limit theorems for empirical measures of interacting quantum systems in Wasserstein space
Lorenzo Portinale, Simone Rademacher, Dániel Virosztek
We prove fundamental properties of empirical measures induced by measurements performed on quantum -body systems. More precisely, we consider measurements performed on the groun…
math.MG2023
Isometric rigidity of the Wasserstein space over Carnot groups
Zoltán M. Balogh, Tamás Titkos, Dániel Virosztek
This paper aims to study isometries of the -Wasserstein space over Carnot groups endowed with horizontally strictly convex norms. Well-known examples…