Zoltán M. Balogh

collaborators

4 papers

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.CV2025

Quantitative stability of extremal quasi conformal mappings

Zoltán M. Balogh, Károly J. Böröczky, Ágnes Mester

We establish quantitative stability results for classical distortion minimization problems in the theory of quasiconformal mappings. We consider the mean distortion functional and…

math.AP2025

Sharp stability in hypercontractivity estimates and logarithmic Sobolev inequalities

Zoltán M. Balogh, Alexandru Kristály

We prove stability results in hypercontractivity estimates for the Hopf--Lax semigroup in $R^{n}$ and apply them to deduce stability results for the Euclidean $L^{p}$ -logarithm…

Restoring Wasserstein Rigidity with a single point

Wasserstein Rigidity over Rn with smooth norms

Quantitative stability of extremal quasi conformal mappings

Sharp stability in hypercontractivity estimates and logarithmic Sobolev inequalities

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