Yunjiang Jiang

activity

20092026

most citedMaximally Consistent Sampling and the Jaccard Index of Probability Distributions

25 citations · 106 across the 23 of their papers we have counts for

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5 papers · 1 filter

math.PR2026

A subquadratic upper bound for the mixing time of the Thorp shuffle

Yunjiang Jiang

Let $n = 2^{d}$ . We prove that the worst-start total-variation mixing time of the full labelled Thorp shuffle satisfies, for every fixed $0 < ε < 1$ , \[ t_{\mathrm{mix}}(\varepsi…

math.PR2026

Cutoff for the Overhand Shuffle

Yunjiang Jiang

We study the overhand shuffle with a fixed cut probability $p \in (0, 1)$ . In the packet-reversal convention, each gap is cut independently with probability $p$ , and each resulting pa…

math.MG2026

A 0.41275 lower bound for the three-dimensional Blaschke-Lebesgue problem

Yunjiang Jiang

We prove that every convex body $K \subset R^{3}$ of constant width $w > 0$ satisfies \[ \operatorname{Vol}(K)\ge \frac{1651}{4000}w^3=0.41275\,w^3. \] This improves the certifi…

math.CO2026

Entropy bounds and global couplings for union-closed families

Yunjiang Jiang

We give a computer-assisted proof that every finite union-closed family containing a nonempty set has an element in at least 0.38288525 of its members. The argument combines indepe…

math.PR2026

Resolvent characteristics and quadratic mixing of Kac's walk on $S O (n)$

Yunjiang Jiang

We study the coordinate-plane Kac walk on $SO (n)$ with independent uniform rotation angles. For the unnormalized Hilbert-Schmidt Riemannian distance, we prove that the Was…

A subquadratic upper bound for the mixing time of the Thorp shuffle

Cutoff for the Overhand Shuffle

A 0.41275 lower bound for the three-dimensional Blaschke-Lebesgue problem

Entropy bounds and global couplings for union-closed families

Resolvent characteristics and quadratic mixing of Kac's walk on SO(n)

Resolvent characteristics and quadratic mixing of Kac's walk on $S O (n)$