10 citations · 61 across the 23 of their papers we have counts for
4 papers · 1 filter
Stretch maps on the affine-additive group
Z. M. Balogh, E. Bubani, I. D. Platis
We define linear and radial stretch maps in the affine-additive group, and prove that they are minimizers of the mean quasiconformal distortion functional. For the proofs we use a…
Isometric rigidity of the Wasserstein space over the plane with the maximum metric
Zoltán M. Balogh, Gergely Kiss, Tamás Titkos +1
We study -Wasserstein spaces over the branching spaces and equipped with the maximum norm metric. We show that these spaces are isometrically rigid for…
Logarithmic-Sobolev inequalities on non-compact Euclidean submanifolds: sharpness and rigidity
Zoltán M. Balogh, Alexandru Kristály
The paper is devoted to provide Michael-Simon-type -logarithmic-Sobolev inequalities on complete, not necessarily compact -dimensional submanifolds of the Euclidean spa…
Hyperbolicity of the sub-Riemannian affine-additive group
Zoltán M. Balogh, Elia Bubani, Ioannis D. Platis
We consider the affine-additive group as a metric measure space with a canonical left-invariant measure and a left-invariant sub-Riemannian metric. We prove that this metric measur…