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The Lovász–Vempala thin-shell variance conjecture
Let $K$ be an isotropic convex body, and let $X$ be a random point from $K$ . Lovász–Vempala variance conjecture. … Under either definition of isotropy used in the source, this conj…
openconvex-geometry random-walks thin-shell
04
The thin-shell conjecture for isotropic logconcave measures
Thin-shell conjecture. The thin-shell constant is universally bounded:
openconvex-geometry logconcavity thin-shell
017

The Lovász–Vempala thin-shell variance conjecture