Zoltán M. Balogh

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20232026

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math.MG2026

Restoring Wasserstein Rigidity with a single point

Zoltán M. Balogh, Eric Ströher, Dániel 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

Zoltán M. Balogh, Eric Ströher, Tamás 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.MG2023

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

Zoltán M. Balogh, Tamás Titkos, Dániel 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

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