Jian Wang

activity

20242026

collaborators

9 papers

math.DG2026

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities

Marcus Khuri, Jian Wang, Jinmin Wang

We prove the Riemannian positive mass theorem in all dimensions for asymptotically flat $L^{\infty}$ -metrics with subcritical singular sets. More precisely, we consider complete asym…

math.DG2026

$L^{\infty}$ -metrics on tori and Schoen's conjecture

Jian Wang, Jinmin Wang, Zhizhang Xie

We prove Schoen's conjecture on $L^{\infty}$ -metrics for tori under an additional assumption on the fundamental group of the singular set. More precisely, we consider an $L^{\infty}$ -m…

math.RA2026

Totally acyclic complexes and homological invariants over arbitrary rings

Jian Wang, Yunxia Li, Jiangsheng Hu +1

In this paper, we investigate equivalent characterizations of the condition that every acyclic complex of projective, injective, or flat modules is totally acyclic over a general r…

math.PR2026

Brownian Loops and the Selberg Zeta Function

Roman Lemonde, Jian Wang

We study the Brownian loop measure on hyperbolic surfaces for Brownian motion with a constant killing rate. We compute the mass of Brownian loops with killing in a free homotopy cl…

math.AP2025

HÃ¶lder damping for fractional wave equations

Jian Wang, Ruoyu P. T. Wang

For fractional wave equations with low HÃ¶lder regularity damping, we establish quantitative energy decay rates for their solutions when the geometric control condition holds. The…

math.GT2025

Nonembeddable contractible open manifolds arising from Whitehead doubling

Shijie Gu, Jian Wang, Yanqing Zou

We study a family of genus-one contractible open manifolds constructed by iterated Whitehead doubling from a nontrivial knot $K$ and an even half-twist $m$ . For each such pair, we…