Lei Yu

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20242026

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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…

math.PR2024

Local Optimality of Dictator Functions with Applications to Courtade--Kumar and Li--Médard Conjectures

Lei Yu

Given a convex function $Φ : [0, 1] \to R$ , the $Φ$ -stability of a Boolean function $f$ is defined as $E [Φ (T_{ρ} f (X))]$ , where $X$ is a random vector u…

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

Local Optimality of Dictator Functions with Applications to Courtade--Kumar and Li--Médard Conjectures

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