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math.FA2020
A divergence center interpretation of general symmetric Kubo-Ando means, and related weighted multivariate operator means
József Pitrik, Dániel Virosztek
It is well known that special Kubo-Ando operator means admit divergence center interpretations, moreover, they are also mean squared error estimators for certain metrics on positiv…
math.FA2018
On isometric embeddings of Wasserstein spaces -- the discrete case
György Pál Gehér, Tamás Titkos, Dániel Virosztek
The aim of this short paper is to offer a complete characterization of all (not necessarily surjective) isometric embeddings of the Wasserstein space ,…
math.FA2018
Maps on probability measures preserving certain distances --- a survey and some new results
Dániel Virosztek
Borel probability measures living on metric spaces are fundamental mathematical objects. There are several meaningful distance functions that make the collection of the probability…