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Sharp Isoperimetric Inequalities - Old and New

CORDIS provides links to public deliverables and publications of HORIZON projects.

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

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 (opens in new window)

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 $\mathbb{S}^n$ (opens in new window)

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

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

<i>L</i> <i>p</i> -Minkowski Problem Under Curvature Pinching (opens in new window)

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 (opens in new window)

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" (opens in new window)

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

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