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The logarithmic Brunn-Minkowski conjecture for origin-symmetric convex bodies
Let $K,L\in\mathcal{K}_e(\mathbb{R}^n)$ be origin-symmetric convex bodies containing the origin in their interiors, and let $K^tL^{1-t}$ denote their logarithmic combination, defin…
Conjectureopenbrunn-minkowski-theory convex-geometry logarithmic-inequalitiesarXiv posted 2 days ago
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Sum of squared logarithms inequality
Sum of squared logarithms inequality. If
Conjectureopeninequalities logarithmic-inequalities symmetric-polynomialsarXiv posted 2 days ago

The logarithmic Brunn-Minkowski conjecture for origin-symmetric convex bodies