Lei Yu

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20242026

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math.MG2026

An explicit dimension-free isoperimetric plateau in the cube

Lei Yu

We prove that, in every dimension, the relative Euclidean isoperimetric profile of the unit cube equals one whenever the prescribed volume differs from one half by at most $6.25\ti…

math.MG2026

Sharp Small-Volume Isoperimetry from Log-Sobolev Inequalities

Lei Yu

Let $I_{i n f} (a) := lim_{n \to \infty} I_{n} (a) = in f_{n \geq 1} I_{n} (a)$ be the asymptotic isoperimetric profile for product of a weighted Riemannian manifold satisfying $\mathrm{CD}(0,\i…

math.PR2026

A Sharp Small-Coefficient Variant of Khintchine's Inequality and the Sharp $π /2$ Theorem

Lei Yu

We prove a refined quadratic normal approximation for the first absolute moment of normalized weighted Rademacher sums with bounded maximal coefficients. For any weight vector $w\i…

An explicit dimension-free isoperimetric plateau in the cube

Sharp Small-Volume Isoperimetry from Log-Sobolev Inequalities

A Sharp Small-Coefficient Variant of Khintchine's Inequality and the Sharp π/2 Theorem

A Sharp Small-Coefficient Variant of Khintchine's Inequality and the Sharp $π /2$ Theorem