Zi-Ran Liu

collaborators

3 papers

math.DG2026

Atiyah's Minkowski Space Conjecture Fails for Every $n \geq 3$

Ziran Liu

Atiyah's Minkowski-space version of the configuration-of-points construction assigns to an admissible marked configuration of $n$ worldlines a collection of $n$ binary forms of deg…

math.AP2026

Nonexistence of vanishing-viscosity limits for mechanical Hamiltonian ergodic problems

Ziran Liu, Hung V. Tran, Yifeng Yu

For $ε > 0$ , let $ϕ^{ε}$ be the solution of the ergodic problem \[ \frac12 |Dϕ^\varepsilon|^2+F(x)-\varepsilonΔϕ^\varepsilon=c(\varepsilon) \qquad \text{on } \mathb…

math.GT2023

Approaching the prescribed Gaussian curvature by discrete conformality

Ziran Liu, Tianqi Wu

We propose a discrete approach for approximating solutions to the prescribed Gaussian curvature problem in two-dimensional manifolds, based on the notion of discrete conformality.…

Atiyah's Minkowski Space Conjecture Fails for Every n≥3

Nonexistence of vanishing-viscosity limits for mechanical Hamiltonian ergodic problems

Approaching the prescribed Gaussian curvature by discrete conformality

Atiyah's Minkowski Space Conjecture Fails for Every $n \geq 3$