Zi-Ran Liu

activity

20132026

most citedA Lichnerowicz vanishing theorem for proper cocompact actions

2 citations · 2 across the 4 of their papers we have counts for

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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…

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

Nonexistence of vanishing-viscosity limits for mechanical Hamiltonian ergodic problems

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