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Geometric study of Wasserstein spaces and free probability

Publications

A divergence center interpretation of general symmetric Kubo-Ando means, and related weighted multivariate operator means

Author(s): József Pitrik, Dániel Virosztek
Published in: Linear Algebra and its Applications, Issue 609, 2021, Page(s) 203-217, ISSN 0024-3795
Publisher: Elsevier BV
DOI: 10.1016/j.laa.2020.09.007

Isometric study of Wasserstein spaces – the real line

Author(s): György Pál Gehér, Tamás Titkos and Dániel Virosztek
Published in: Transactions of the American Mathematical Society, Issue 373, 2020, Page(s) 5855-5883, ISSN 0002-9947
Publisher: American Mathematical Society
DOI: 10.1090/tran/8113

Quantum Hellinger distances revisited

Author(s): József Pitrik, Dániel Virosztek
Published in: Letters in Mathematical Physics, Issue 110/8, 2020, Page(s) 2039-2052, ISSN 0377-9017
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s11005-020-01282-0

The metric property of the quantum Jensen-Shannon divergence

Author(s): Dániel Virosztek
Published in: Advances in Mathematics, Issue 380, 2021, Page(s) 107595, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2021.107595

The isometry group of Wasserstein spaces: the Hilbertian case

Author(s): Gehér, György Pál; Titkos, Tamás; Virosztek, Dániel
Published in: 2021
Publisher: Cornell University

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