Ruoyuan Liu

activity

20192026

most citedA note on the extremal noncentral sections of the cross-polytope

1 citations · 3 across the 15 of their papers we have counts for

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math.AP2025

Hyperbolic $O (N)$ linear sigma model and its mean-field limit

Ruoyuan Liu, Shao Liu, Tadahiro Oh

We study large $N$ limits of the hyperbolic $O (N)$ linear sigma model ( $HLSM_{N}$ ) on the two-dimensional torus $T^{2}$ , namely, a system of $N$ interacting stochastic d…

math.AP2025

Large torus limit of global dynamics of the two-dimensional dispersive Anderson model

Ruoyuan Liu, Nikolay Tzvetkov

We continue the study of the two-dimensional dispersive Anderson model (DAM), i.e. the nonlinear Schrödinger equation with multiplicative spatial white noise. For this model, globa…

Hyperbolic O(N) linear sigma model and its mean-field limit

Large torus limit of global dynamics of the two-dimensional dispersive Anderson model

Hyperbolic $O (N)$ linear sigma model and its mean-field limit