T. Titkos

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math.MG2025

Wasserstein Rigidity over $R^{n}$ with smooth norms

ZoltÃ¡n M. Balogh, Eric StrÃ¶her, TamÃ¡s Titkos +1

We study $p -$ Wasserstein spaces $W_{p} (R^{n}, d_{N})$ over $R^{n}$ equipped with a norm metric $d_{N}$ . We show that, if the norm is smooth enough, then the Wass…

math.MG2025

Rigid and flexible Wasserstein spaces

ZoltÃ¡n M. Balogh, Eric StrÃ¶her, TamÃ¡s Titkos +1

In this paper, we study isometries of $p$ -Wasserstein spaces. In our first result, for every complete and separable metric space $X$ and for every $p \geq 1$ , we construct a metric s…

math.MG2025

Isometric rigidity of the Wasserstein space $W_{1} (G)$ over Carnot groups

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

This paper aims to study isometries of the $1$ -Wasserstein space $W_{1} (G)$ over Carnot groups endowed with horizontally strictly convex norms. Well-known examples…

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…

Wasserstein Rigidity over Rn with smooth norms

Rigid and flexible Wasserstein spaces

Isometric rigidity of the Wasserstein space W1​(G) over Carnot groups

Isometries and isometric embeddings of Wasserstein spaces over the Heisenberg group

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

Wasserstein Rigidity over $R^{n}$ with smooth norms

Isometric rigidity of the Wasserstein space $W_{1} (G)$ over Carnot groups