Approximately gaussian marginals and the hyperplane conjecture
classification
🧮 math.MG
keywords
conjecturehyperplaneimpliesaccordingapproximatelyballbodycertain
read the original abstract
We discuss connections between certain well-known open problems related to the uniform measure on a high-dimensional convex body. In particular, we show that the "thin shell conjecture" implies the "hyperplane conjecture". This extends a result by K. Ball, according to which the stronger "spectral gap conjecture" implies the "hyperplane conjecture".
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.