1. On the
exotic isometry flow of the
quadratic Wasserstein space over the
real line
Linear Algebra and its Applications,
2024
DOI:
https://doi.org/10.1016/j.laa.2023.02.016
(with Gy.P. Gehér, and D. Virosztek)
2.Quantum Wasserstein isometries on
the qubit state space
Journal of Mathematical Analysis and
Applications, 2023
https://doi.org/10.1016/j.jmaa.2022.126955.
3. Isometric rigidity
of Wasserstein tori
and spheres
Mathematika, 2023
DOI:
https://doi.org/10.1112/mtk.12174 (with Gy.P.
Gehér, and D.
Virosztek)
4. Isometric rigidity of Wasserstein
spaces: the graph metric case
Proceedings of the
American Mathematical Society, 2022
DOI:
https://doi.org/10.1090/proc/15977 (with G. Kiss)
5. The
isometry group of Wasserstein
spaces: the Hilbertian case
Journal of the London
Mathematical Society, 2022
DOI: https://doi.org/10.1112/jlms.12676 (with Gy.P. Gehér, and D.
Virosztek)
6. Isometric study of Wasserstein spaces -
the real line
Transactions of the
American Mathematical Society, 2020
DOI:
https://doi.org/10.1090/tran/8113 (with Gy.P. Gehér, and D.
Virosztek)
7. Operators
on anti-dual pairs: Generalized
Krein-von Neumann extension
Mathematische
Nachrichten, 2020
DOI: https://doi.org/10.1002/mana.201800431
(with Zs.
Tarcsay)
8. Operators on anti-dual pairs:
Self-adjoint extensions and the strong
Parrott theorem
Canadian Mathematical Bulletin, 2020
DOI:
https://doi.org/10.4153/S0008439520000065
9. On isometric embeddings of
Wasserstein spaces - the discrete case
Journal of Mathematical Analysis
and Applications, 2019
DOI:
https://doi.org/10.1016/j.jmaa.2019.123435 (with Gy.P. Gehér, and D.
Virosztek)
10. Arlinskii's iteration and its
applications
Proceedings of the Edinburgh
Mathematical Society, 2019
DOI:
https://doi.org/10.1017/S0013091518000287
11. A characterisation of isometries
with respect to the Lévy-Prokhorov metric
Annali della Scuola Normale
Superiore di Pisa - Classe di Scienze, 2019
DOI: 10.2422/2036-2145.201702_011 (with Gy.P. Gehér)
12. The singular part as fixed point,
The American Mathematical Monthly, 2018
DOI: 10.1080/00029890.2018.1393219
13. A Simple Proof of the Lebesgue
Decomposition Theorem
The American Mathematical
Monthly, Taylor&Francis, 2015
DOI:
10.4169/amer.math.monthly.122.8.793
14. A Radon-Nikodym type theorem for
forms,
Positivity, 2013
DOI:
https://doi.org/10.1007/s11117-012-0209-1 (with Z.
Sebestyén)
15. Ando's theorem for nonnegative forms
Positivity, 2012
DOI: https://doi.org/10.1007/s11117-011-0133-9
Selected talks
21/11/2017 Lebesgue- and Radon--Nikodym type theorems
Formal Sciences Seminar, IST Austria
Klosterneuburg, Austria
28/11/2017 Extension of suboperators and the generalized
Schur complement
Functional Analysis Seminar, University of Oxford
Oxford, United Kingdom
19/06/2018 Characterisations of isometries
with respect to probability distances
Preservers: Modern Aspects and New Directions, Queen’s
University Belfast
Belfast, Northern Ireland
19/12/2018 Positive operators
on anti-dual pairs
2018 China-Korea International Conference on Matrix Theory
with Applications, Shanghai University
Shanghai,
China
29/01/2019 On the
isometry group of metric spaces of probability
measures
Researches on isometries as
preserver problems and related topics, Kyoto RIMS
Kyoto, Japan
08-12/07/2019 Positive operators on
anti-dual pairs: Parallel addition
ILAS 2019 - Invited Mini-Symposium:
Matrix Analysis
Rio de Janeiro, Brasil
17/02/2020
Isometries of Wasserstein
spaces
Rings, Modules and Matrices
Seminar, Lomonosov Moscow
State University
Moscow, Russia
17/11/2020
Isometries of
Wasserstein
spaces
Analysis
Seminar,
University of
Wisconsin-Madison
Madison, US
20-26/06/2021
Maps preserving absolute
continuity of positive
operators
8th European Congress of
Mathematics, MS: Recent
Developments on Preservers
Portoroz, Slovenia
23/11/2022 On the
Monge-Kantorovich distance
over concave base spaces
Real and Abstract Analysis
Seminar, Charles University
Prague, Czech Republic
18/09/2023 On exotic
isometries of Wasserstein
spaces
Séminaire de Mathématiques et
Colloquium, Institut de
Recherche en Informatique,
Mathématiques, Automatique et
Signal
Mulhouse, France
20/09/2023 Isometries of
Wasserstein spaces and
Lipschitz-free spaces
Æsy to define, Hard to
analyse: First conference on
Lipschitz-free spaces, Centre
Diocésain
Besançon, France
Ph. D. Thesis
Decomposition theory of forms,
2016
Doctoral School of Mathematics,
Eötvös Loránd University
Memberships
- Public body of the Hungarian
Academy of Sciences
- János Bolyai
Mathematical Society
- European Mathematical Society
- American Mathematical Society
- School:
Sept 19-23, 2022 [poster]
Lecturers: E.A. Carlen (Rutgers
University), A.
Figalli (ETH Zurich), F. Golse (CMLS Ecole
Polytechnique), D. Trevisan (University of Pisa)
-
Invited
speakers: P. Antonini (Università del Salento), Z.
Balogh (University of Bern), Y. Brenier (Universite
Paris-Saclay),
A. Capel (Universität Tübingen), E. Caglioti
(Sapienza University of Rome), Li Chen (University
of Mannheim, Germany),
N. Datta (University of Cambridge), G. De Palma
(University of Bologna), M. Eckstein
(Jagiellonian University), M. Iacobelli (ETH
Zurich),
L. Lafleche (UT Austin), L. Portinale
(Hausdorff Center for Mathematics Bonn), C. Rouzé
(TU Munich), D. Shlyakhtenko (UCLA),
M. Wirth (IST Austria) H. Zhang (IST Austria), K.
Zyczkowski (Polish Academy of Sciences)
-
- Focus
Event on the Geometry of Wasserstein Spaces:
November 28 - December 2, 2022
Ramón J. Aliaga (Universitat Politècnica de València),
Zoltán Balogh (University of Bern, Switzerland)
Nicolas Juillet (Université de Haute-Alsace), Eva
Pernecká (Czech Technical University in Prague)
