Hong-Huai Fang

collaborators

4 papers

math.PR2026

Sharp Typical Distance and Exponential Small-Ball Bounds in One-Step-Cliff Nielsen Geometry

Honghuai Fang

Let $D = 2^{n}$ and equip $PU (D)$ with the one-step-cliff Nielsen metric, with quadratic metric coefficients one in Pauli directions of weights one and two and $D^{2}$ in…

quant-ph2026

Variable-Cliff Nielsen Geometry and an Exponent -4/3 Lower Bound for the Infinite-Cliff Diameter

Honghuai Fang

Let $D = 2^{n}$ and $M = 3 n + 9 (2 n)$ . We study the right-invariant one-step-cliff metric $d_{Q}$ on $PU (D)$ , with unit penalty on Pauli weights one and two and penalty $Q…

math.NT2026

Bloch-regulator Principal Parts of Cyclotomic Iwasawa Pseudomeasures

Honghuai Fang, Zekun Chen

Let $p$ be an odd prime and let $K / Q_{p}$ be a finite unramified extension. From a finite presentation by roots of unity of order prime to $p$ , we construct a localized Iwas…

math.GT2026

Cyclotomic Newton Expansions and a Rank-Uniform Integer-Valued Newton Completion

Honghuai Fang, Tian Zhou

Let $J_{r}^{S U (n)} (K; q)$ denote the reduced $S U (n)$ quantum invariant of a zero-framed knot $K$ , colored by the $r$ th symmetric power of the defining representation and normalized to…