Polarity and Central-Symmetry in Asymptotic Geometric Analysis

Project Information

PolSymAGA

Grant agreement ID: 770127

DOI

10.3030/770127

Project closed

EC signature date 24 January 2018

Start date 1 September 2018

End date 31 August 2025

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 514 125,00

EU contribution

€ 1 514 125,00

Coordinated by

TEL AVIV UNIVERSITY
Israel

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Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Monographic books (1)

Convex Geometry: Cetraro, Italy 2021

Author(s): Shiri Artstein-Avidan; Gabriele Bianchi; Andrea Colesanti; Paolo Gronchi; Daniel Hug; Monika Ludwig; Fabian Mussnig
Published in: Lecture Notes in Mathematics, CIME Foundation Subseries, Issue Vol. 2332 (2022), 2022, Page(s) 159-231, ISBN 978-3-031-21901-4
Publisher: Springer
DOI: 10.1007/978-3-031-21902-1

Peer reviewed articles (22)

Affine Invariant Maps for Log-Concave Functions

Author(s): Ben Li, Carsten Schütt, Elisabeth M. Werner
Published in: The Journal of Geometric Analysis, Issue 32, 2022, ISSN 1050-6926
Publisher: American Mathematical Society
DOI: 10.1007/s12220-022-00878-3

Some new positions of maximal volume of convex bodies

Author(s): Shiri Artstein-Avidan; Eli Putterman
Published in: Mathematica, Issue 4, 2022, ISSN 2730-9657
Publisher: Springer
DOI: 10.1007/s44007-022-00031-0

Geometric Inequalities for Anti-Blocking Bodies

Author(s): Shiri Artstein-Avidan; Shay Sadovsky; Raman Sanyal
Published in: Communications in Contemporary Mathematics, Issue Vol. 25, No. 03, 2023, ISSN 0219-1997
Publisher: World Scientific Publishing Co
DOI: 10.48550/arxiv.2008.10394

On unbalanced difference bodies and Godbersen's conjecture

Author(s): Shiri Artstein-Avidan, Eli Putterman
Published in: Proceedings of the American Mathematical Society, 2025, ISSN 1088-6826
Publisher: American Mathematical Society
DOI: 10.1090/proc/17428

The Löwner Function of a Log-Concave Function

Author(s): Ben Li, Carsten Schütt, Elisabeth M. Werner
Published in: The Journal of Geometric Analysis, Issue 31, 2023, Page(s) 423-456, ISSN 1050-6926
Publisher: American Mathematical Society
DOI: 10.1007/s12220-019-00270-8

Functional Covering Numbers

Author(s): Shiri Artstein-Avidan, Boaz A. Slomka
Published in: The Journal of Geometric Analysis, Issue 31/1, 2021, Page(s) 1039-1072, ISSN 1050-6926
Publisher: American Mathematical Society
DOI: 10.1007/s12220-019-00310-3

A Zoo of Dualities

Author(s): S.Artstein-Avidan; S.Sadovsky; K.Wyczesany
Published in: The Journal of Geometric Analysis, 2023, ISSN 1050-6926
Publisher: American Mathematical Society
DOI: 10.1007/s12220-023-01302-0

General measure extensions of projection bodies

Author(s): Langharst, Dylan; Roysdon, Michael; Zvavitch, Artem
Published in: Proc. London Math. Soc., Issue (3) 125:, 2022, Page(s) 1083–1129., ISSN 0024-6115
Publisher: Oxford University Press
DOI: 10.1112/plms.12477

The Hadwiger Theorem on Convex Functions, I

Author(s): Andrea Colesanti, Monika Ludwig, Fabian Mussnig
Published in: Geometric and Functional Analysis, Issue 34, 2024, Page(s) 1839-1898, ISSN 1016-443X
Publisher: Birkhauser Verlag
DOI: 10.1007/s00039-024-00693-8

Metrics and Isometries for Convex Functions

Author(s): Ben Li; Fabian Mussnig
Published in: International Mathematics Research Notices, Issue Volume 2022, Issue 18, 2022, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.48550/arxiv.2010.12846

Functional Brunn-Minkowski inequalities induced by polarity

Author(s): S. Artstein-Avidan, D.I. Florentin, A. Segal
Published in: Advances in Mathematics, Issue 364, 2020, Page(s) 107006, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2020.107006

Complex L-intersection bodies

Author(s): Simon Ellmeyer, Georg C. Hofstätter
Published in: Advances in Mathematics, Issue 431, 2025, Page(s) 109247, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2023.109247

A full classification of the isometries of the class of ball‐bodies

Author(s): Shiri Artstein‐Avidan, Arnon Chor, Dan I. Florentin
Published in: Bulletin of the London Mathematical Society, Issue Vol. 57, Issue 1, 2025, ISSN 0024-6093
Publisher: Oxford University Press
DOI: 10.1112/blms.70203

Equivariant Endomorphisms of Convex Functions

Author(s): Georg C. Hofstätter; Jonas Knoerr
Published in: Journal of Functional Analysis, Issue Volume 285, Issue 1, 2023, ISSN 0022-1236
Publisher: Academic Press
DOI: 10.48550/arxiv.2207.09758

Optimal measure transportation with respect to non-traditional costs

Author(s): Artstein-Avidan, S.; Sadovsky, S. ; Wyczesany, K
Published in: Calculus of Variations and Partial Differential Equations volume, Issue 62, 2023, ISSN 0944-2669
Publisher: Springer Verlag
DOI: 10.1007/s00526-022-02362-w

A Rockafellar-type theorem for non-traditional costs

Author(s): Artstein-Avidan, Shiri; Sadovsky, Shay; Wyczesany, Katarzyna
Published in: Advances in Mathematics, Issue Volume 395, 2022, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2021.108157

On the Variance, Admissibility, and Stability of Empirical Risk Minimization

Author(s): Kur, Gil; Putterman, Eli; Rakhlin, Alexander
Published in: Advances in Neural Information Processing Systems, Issue 36, 2023, ISSN 1049-5258
Publisher: Curran Associates, Inc.
DOI: 10.5555/3666122.3667754

The maximum surface area polyhedron with five vertices inscribed in the sphere {\bb S}^{2}.

Author(s): Jessica Donahue; Steven Hoehner; Ben Li
Published in: Acta Crystallogr A Found Adv, 2021, ISSN 2053-2733
Publisher: John Wiley and Sons Inc.
DOI: 10.48550/arxiv.2005.13660

The Hadwiger theorem on convex functions, II: Cauchy–Kubota formulas

Author(s): Andrea Colesanti, Monika Ludwig, Fabian Mussnig
Published in: American Journal of Mathematics, Issue 147, 2025, Page(s) 927-955, ISSN 1080-6377
Publisher: Johns Hopkins University Press
DOI: 10.1353/ajm.2025.a966289

Isometries of the class of ball-bodies

Author(s): Shiri Artstein-Avidan, Arnon Chor, Dan Florentin
Published in: Colloquium Mathematicum, Issue Vol. 178 (2025), 2025, Page(s) 231-239, ISSN 0010-1354
Publisher: Institute of Mathematics, Polish Academy of Sciences
DOI: 10.4064/cm9589-6-2025

An Efficient Minimax Optimal Estimator For Multivariate Convex Regression

Author(s): Gil Kur ; Eli Putterman
Published in: Proceedings of Machine Learning Research, Issue vol178:1–37, 2022, ISSN 2640-3498
Publisher: Cambridge, MA JMLR

Boundary restricted Brunn–Minkowski inequalities

Author(s): Shiri Artstein-Avidan, Tomer Falah, Boaz A. Slomka
Published in: Communications in Contemporary Mathematics, Issue 26, 2024, ISSN 0219-1997
Publisher: World Scientific Publishing Co
DOI: 10.1142/s0219199723500566