Dániel Virosztek

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math.MG2026

Restoring Wasserstein Rigidity with a single point

ZoltÃ¡n M. Balogh, Eric StrÃ¶her, DÃ¡niel Virosztek

We consider isometrically flexible Wasserstein spaces and demonstrate that adding a single point to the underlying metric space makes these Wasserstein spaces rigid.

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…

Restoring Wasserstein Rigidity with a single point

Wasserstein Rigidity over Rn with smooth norms

Rigid and flexible Wasserstein spaces

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

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

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