Zhen Fu

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math.PR2026

Central limit theorem in Rényi divergence for lattice random variables

Zhen Fu, Jiange Li

Let ${X_{i}}_{i = 1}^{n}$ be independent, identically distributed lattice random variables with zero mean, unit variance, and maximal span $h > 0$ . Let $S_{n} = (X_{1} + \dots + X_{n}) / n$ . Le…

math.PR2025

A reverse entropy power inequality for i.i.d. log-concave random variables

Zhen Fu, Jiange Li

We show that $h_{\infty} (X + Y) \leq h_{\infty} (Z + W)$ , where $X, Y$ are independent log-concave random variables, and $Z, W$ are exponential random variables having the same respective $\…