Jiang Li

activity

20242026

collaborators

4 papers

math.FA2026

Boxing inequalities for relative fractional perimeter and fractional PoincarÃ©-type inequalities on John domains with the BBM factor

Manzi Huang, Panu Lahti, Jiang Li +1

For $0 < I^´, I ¨ < 1$ and $1 \leq s \leq \frac{n}{n - I ^ ´}$ , we prove that for a given $s$ -John domain $I^c ◯ \subset R^{n}$ , the following Boxing inequality holds for every Lebesgue measura…

math.FA2025

Geometric inequalities related to fractional perimeter: fractional PoincarÃ©, isoperimetric, and boxing inequalities in metric measure spaces

Josh Kline, Panu Lahti, Jiang Li +1

In the setting of a complete, doubling metric measure space $(X, d, I^¼)$ supporting a $(1, 1)$ -PoincarÃ© inequality, we show that for all $0 < I^¸ < 1$ , the following fractional PoincarÃ©…

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 $\…

math.PR2024

Asymptotic Normality and Concentration Inequalities of Statistics of Core Partitions with Bounded Perimeters

Jiange Li, Yetong Sha, Huan Xiong

Core partitions have attracted much attention since Anderson's work (2002) on the number of $(s, t)$ -core partitions for coprime $s, t$ . Recently, there has been a growing interest i…