Isoperimetry with density | Vidéo | Carmin.tv

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Isoperimetry with density

By Frank Morgan

Appears in collection : Shape optimization and isoperimetric and functional inequalities / Optimisation de formes et inégalités isopérimétriques et fonctionnelles

In 2015 Chambers proved the Log-convex Density Conjecture, which says that for a radial density f on $R^n$, spheres about the origin are isoperimetric if and only if log f is convex (the stability condition). We discuss recent progress and open questions for other densities, unequal perimeter and volume densities, and other metrics.

Information about the video

Date of recording 22/11/2016
Date of publication 01/12/2016
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19095103
Cite this video Morgan, Frank (22/11/2016). Isoperimetry with density. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19095103
URL https://dx.doi.org/10.24350/CIRM.V.19095103

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