Colin Tang

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math.PR2026

Khinchin inequalities for uniforms on spheres with a deficit

Jacek Jakimiuk, Colin Tang, Tomasz Tkocz

We sharpen the moment comparison inequalities with sharp constants for sums of random vectors uniform on Euclidean spheres, providing a deficit term (optimal in high dimensions).

math.PR2026

Moments of sums of exponentials, beyond CHS

Silouanos Brazitikos, Colin Tang, Tomasz Tkocz

We establish a sharp lower bound on the $L_{p}$ -norm of sums of independent exponential random variables with fixed variance, for $p \geq 2$ , thus extending Hunter's positivity theor…