Dániel Virosztek

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math.MG2025

Isometries and isometric embeddings of Wasserstein spaces over the Heisenberg group

ZoltÃ¡n M. Balogh, TamÃ¡s Titkos, DÃ¡niel Virosztek

Our purpose in this paper is to study isometries and isometric embeddings of the $p$ -Wasserstein space $W_{p} (H^{n})$ over the Heisenberg group $H^{n}$ for al…

math.MG2025

Isometric rigidity of the Wasserstein space over the plane with the maximum metric

ZoltÃ¡n M. Balogh, Gergely Kiss, TamÃ¡s Titkos +1

We study $p$ -Wasserstein spaces over the branching spaces $R^{2}$ and $[- 1, 1]^{2}$ equipped with the maximum norm metric. We show that these spaces are isometrically rigid for…

math.MG2024

Isometric rigidity of Wasserstein spaces over Euclidean spheres

We study the structure of isometries of the quadratic Wasserstein space $W_{2} (S^{n}, ∥ \cdot ∥)$ over the sphere endowed with the distance inherited from…