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math.MG2020★ 14 cited
Isometric study of Wasserstein spaces --- the real line
György Pál Gehér, Tamás Titkos, Dániel Virosztek
Recently Kloeckner described the structure of the isometry group of the quadratic Wasserstein space . It turned out that the case of the rea…
math.MG2015★ 4 cited
Is it possible to determine a point lying in a simplex if we know the distances from the vertices?
György Pál Gehér
It is an elementary fact that if we fix an arbitrary set of affine independent points in , then the Euclidean distances $\{|x-p_j|\}_{j=0}^d…
math.MG2015★ 8 cited
A contribution to the Aleksandrov conservative distance problem in two dimensions
György Pál Gehér
Let be a two-dimensional real normed space. In this paper we show that if the unit circle of does not contain any line segment such that the distance between its endpoints…