2 problems

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The unconditional-basis-free randomized Dvoretzky conjecture in the ℓ-position
Let $B$ be an origin-symmetric convex body in ${\mathbb R}^n$ in the $\ell$ -position. For $\varepsilon\in(0,1/2]$ and $k\leq c\varepsilon\log n/\log\frac{1}{\varepsilon}$ , let…
Conjectureopenasymptotic-geometric-analysis convex-bodies dvoretzky-theoremarXiv posted 2 days ago
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Milman's order-of-growth conjecture for polynomial Dvoretzky numbers
Milman's conjecture. The quantity $n(d,k)$ is of order $k^d$ .
Conjecturerefutedconvex-geometry dvoretzky-theorem polynomial-geometryarXiv posted 2 days ago

The unconditional-basis-free randomized Dvoretzky conjecture in the ℓ-position