Sharp Isoperimetric Inequalities - Old and New

Project Information

ISOPERIMETRY

Grant agreement ID: 101001677

DOI

10.3030/101001677

EC signature date 11 February 2021

Start date 1 October 2022

End date 30 September 2027

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 745 000,00

EU contribution

€ 1 745 000,00

Coordinated by

TECHNION - ISRAEL INSTITUTE OF TECHNOLOGY
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

Other (15)

Optimal transport on null hypersurfaces and the null energy condition

Author(s): Fabio Cavalletti, Davide Manini, Andrea Mondino
Published in: Submitted to Journal, 2024
Publisher: TBD

Isoperimetric Inequalities on Slabs with applications to Cubes and Gaussian Slabs

Author(s): Milman, Emanuel
Published in: Submitted to journal, 2024
Publisher: TBD

Family index for Fredholm extensions of semi-Fredholm operators

Author(s): Prokhorova, Marina
Published in: Submitted to journal, 2024
Publisher: TBD
DOI: 10.48550/arxiv.2401.16060

Plateau Bubbles and the Quintuple Bubble Theorem on $\mathbb{S}^n$

Author(s): Milman, Emanuel; Neeman, Joe
Published in: submitted to journal, 2023
Publisher: TBD
DOI: 10.48550/arxiv.2307.08164

Standard bubbles (and other Möbius flat partitions) on model spaces are stable

Author(s): Emanuel Milman, Botong Xu
Published in: Submitted to Journal, 2025
Publisher: TBD

Fixed and Periodic Points of the Intersection Body Operator

Author(s): Emanuel Milman, Shahar Shabelman, Amir Yehudayoff
Published in: Submitted to Journal, 2024
Publisher: TBD

New Heintze-Karcher type inequalities in sub-static warped product manifolds

Author(s): Haizhong Li, Yong Wei, Botong Xu
Published in: Submitted to Journal, 2025
Publisher: TBD

On the log-Sobolev constant of log-concave measures

Author(s): Pierre Bizeul
Published in: Submitted to Journal, 2025
Publisher: TBD

The slicing conjecture via small ball estimates

Author(s): Pierre Bizeul
Published in: Submitted to Journal, 2025
Publisher: TBD

Gaussian Correlation via Inverse Brascamp-Lieb

Author(s): Emanuel Milman
Published in: Submitted to Journal, 2025
Publisher: TBD

Polynomial Approximation in L2 of the Double Exponential via Complex Analysis

Author(s): Pierre Bizeul, Bo'az Klartag
Published in: Submitted to Journal, 2025
Publisher: TBD

Spectral flow and Robin domains on metric graphs

Author(s): Ram Band, Marina Prokhorova, Gilad Sofer
Published in: To be submitted to journal, 2025
Publisher: TBD

The horospherical p-Christoffel-Minkowski and prescribed p-shifted Weingarten curvature problems in hyperbolic space

Author(s): Yingxiang Hu, Haizhong Li, Botong Xu
Published in: Submitted to Journal, 2024
Publisher: TBD

A Blaschke-Santaló inequality for unconditional log-concave measures

Author(s): Emanuel Milman, Amir Yehudayoff
Published in: Submitted to Journal, 2024
Publisher: TBD

Affine isoperimetric type inequalities for static convex domains in hyperbolic space

Author(s): Yingxiang Hu, Haizhong Li, Yao Wan, Botong Xu
Published in: Submitted to Journal, 2025
Publisher: TBD

Conference proceedings (1)

Minimum Norm Interpolation Meets The Local Theory of Banach Spaces

Author(s): Gil Kur, Pedro Abdalla, Pierre Bizeul, Fanny Yang
Published in: ICML'24: Proceedings of the 41st International Conference on Machine Learning, 2024, Page(s) Article No.: 1030, pages 25726-25754, ISSN 2640-3498
Publisher: JMLR.org

Peer reviewed articles (3)

<i>L</i> <i>p</i> -Minkowski Problem Under Curvature Pinching

Author(s): Ivaki, Mohammad N.; Milman, Emanuel
Published in: International Mathematics Research Notices (IMRN), 2024, Page(s) rnad319, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnad319

Uniqueness of solutions to a class of isotropic curvature problems

Author(s): Ivaki, Mohammad N.; Milman, Emanuel
Published in: Advances in Mathematics, Issue 435A, 2023, Page(s) 109350, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2023.109350

"The structure of isoperimetric bubbles on Rⁿ and Sⁿ"

Author(s): Emanuel Milman, Joe Neeman
Published in: Acta Mathematica, Issue 234, 2025, Page(s) 71-188, ISSN 0001-5962
Publisher: Royal Swedish Academy of Sciences
DOI: 10.4310/acta.2025.v234.n1.a2