10 citations · 61 across the 23 of their papers we have counts for
14 papers · 1 filter
Hölder maps from Euclidean spaces to Carnot groups
Zoltan Balogh, Artem Kozhevnikov, Pierre Pansu
We give alternative proofs of (unsharp) results of Gromov's on his H\''older equivalence problem: for which does there exist a -homeomorphism of an open set of Euclidean s…
Rigid and flexible Wasserstein spaces
Zoltán M. Balogh, Eric Ströher, Tamás Titkos +1
In this paper, we study isometries of -Wasserstein spaces. In our first result, for every complete and separable metric space and for every , we construct a metric s…
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…
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…
Isometries and isometric embeddings of Wasserstein spaces over the Heisenberg group
Zoltán M. Balogh, Tamás Titkos, Dániel Virosztek
Our purpose in this paper is to study isometries and isometric embeddings of the -Wasserstein space over the Heisenberg group for al…
Box-counting by Hölder's traveling salesman
Zoltán Balogh, Roger Züst
We provide a sufficient Dini-type condition for a subset of a complete, quasiconvex metric space to be covered by a Hölder curve. This implies in particular that if the upper box-c…