probability-statistics / High-dimensional probability

Litvak's Conjecture on Gaussian Minima

the paper proposes that the cosine matrix is the true minimizer for all p and n, and proves a stronger stochastic domination statement conditional on a new volumetric extension of Fejes Toth's zone conjecture

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probability-statisticsMay 3, 2026Significance 20/100Registry: site confirmed

Litvak's Conjecture on Gaussian Minima

Prior state unknown→disproved

the paper proposes that the cosine matrix is the true minimizer for all p and n, and proves a stronger stochastic domination statement conditional on a new volumetric extension of Fejes Toth's zone conjecture

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the paper proposes that the cosine matrix is the true minimizer for all p and n, and proves a stronger stochastic domination statement conditional on a new volumetric extension of Fejes Toth's zone conjecture

the paper proposes that the cosine matrix is the true minimizer for all p and n, and proves a stronger stochastic domination statement conditional on a new volumetric extension of Fejes Toth's zone conjecture

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Litvak's Conjecture on Gaussian Minima — Mathematical Frontier Network