T. Titkos

activity

20142025

most citedIsometric study of Wasserstein spaces --- the real line

14 citations · 76 across the 23 of their papers we have counts for

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Showing 2022Show all

3 papers · 1 filter

math-ph2022★ 9 cited

Quantum Wasserstein isometries on the qubit state space

György Pál Gehér, József Pitrik, Tamás Titkos +1

We describe Wasserstein isometries of the quantum bit state space with respect to distinguished cost operators. We derive a Wigner-type result for the cost operator involving all t…

math.MG2022★ 10 cited

Isometric rigidity of Wasserstein tori and spheres

György Pál Gehér, Tamás Titkos, Dániel Virosztek

We prove isometric rigidity for $p$ -Wasserstein spaces over finite-dimensional tori and spheres for all $p$ . We present a unified approach to proving rigidity that relies on the ro…

math.CA2022

Isometric rigidity of Wasserstein spaces: the graph metric case

Gergely Kiss, Tamás Titkos

The aim of this paper is to prove that the $p$ -Wasserstein space $W_{p} (X)$ is isometrically rigid for all $p \geq 1$ whenever $X$ is a countable graph metric space. As a co…