4 papers
Refined global well-posedness for the periodic modulated Korteweg-de Vries equation
Damiano Greco, Massimiliano Gubinelli, Shao Liu +1
We revisit the pathwise global well-posedness issue of the modulated Korteweg-de Vries equation (KdV) on the circle. In the previous work (2024), by combining the -method and th…
On the Smoluchowski-Kramers approximation for the hyperbolic linear sigma model and its mean-field limit
Alexander Czernik, Ruoyuan Liu, Shao Liu
We study the hyperbolic linear sigma model, i.e. a system of interacting stochastic damped nonlinear wave equations (SdNLW) with coupled cubic nonlinearities, posed on t…
Hyperbolic linear sigma model and its mean-field limit
Ruoyuan Liu, Shao Liu, Tadahiro Oh
We study large limits of the hyperbolic linear sigma model () on the two-dimensional torus , namely, a system of interacting stochastic d…
Fisher zeros and critical behavior for the Ising model on Sierpinski gasket
Shaosong Liu
In this paper, we provide a proof of the explicit formula for the partition function of the Ising model on the Sierpinski gasket. Additionally, we demonstrate the dynamic behavior…