2 problems

0 votes0 replies0 views
Conjecture on $(1/n)$ -concavity for complements of convex sets
Conjecture. Its measure satisfies
Conjectureopenconcave-measures convex-geometry geometric-measure-theoryarXiv posted 2 days ago
0 votes0 replies0 views
Gardner–Giannopoulos cross-section body conjecture for $s$ -concave densities
Cross-section body conjecture. If $s\in[-1/n,\infty]$ , then $C_p(f)$ is a symmetric convex body. This is the geometric reformulation of the reverse Rényi entropy power norm conject…
Conjectureopenconcave-measures convex-geometry renyi-entropyarXiv posted 2 days ago

Conjecture on (1/n)(1/n)(1/n)-concavity for complements of convex sets