Chiyu Zhou

collaborators

5 papers

math.PR2026

Sharp Rogers--Shephard Inequalities for Rényi Entropy

Bang-Xian Han, Guoqing Zhan, Chiyu Zhou +1

We establish sharp weighted Rogers--Shephard inequalities for Rényi differential entropy. For independent copies $X, X^{'}$ of a log-concave random vector in $R^{n}$ , we prove $h_p(aX-b…

math.DG2026

Structure theorems for Lichnerowicz-sharp graphs

Yanlong Ding, Shiping Liu, Chiyu Zhou

Hypercube graphs are fundamental model spaces of positive curvature in discrete comparison geometry. Let $G$ be a finite, connected, simple, unweighted graph with Bakry--Émery curv…

math.DG2026

Pointwise subexponential growth and near-diffusive displacement on bounded-degree graphs with non-negative Ollivier--Ricci curvature

Chiyu Zhou

Let $G = (V, E)$ be a possibly infinite, locally finite graph with non-negative Ollivier--Ricci curvature and degrees bounded by $d < \infty$ . We prove that there exists a constant $C_d…

math.DG2026

Regular Lichnerowicz-sharp graphs are hypercube bundles

Yanlong Ding, Shiping Liu, Chiyu Zhou

Hypercube graphs are fundamental model spaces of positive curvature in discrete comparison geometry. Let $G$ be a finite, connected, simple, unweighted graph with Bakry--Émery curv…

math.DG2025

Quantitative Obata's theorem in discrete setting

Shiping Liu, Chiyu Zhou

Under mild assumptions, we show that a connected weighted graph $G$ with lower Ricci curvature bound $K > 0$ in the sense of Bakry-Émery and the $d$ -th non-zero Laplacian eigenvalue…