3 papers
math-ph2026
Theory from many-body quantum Gibbs states
Phan Thành Nam, Zhilin Yang, Xiangchan Zhu
We derive the measure on the two-dimensional unit torus as the rigorous limit of many-body quantum Gibbs states. In particular, the quantum model corresponding t…
math.PR2025
Gaussian Fluctuations for the Stochastic Landau-Lifshitz Navier-Stokes Equation in Dimension
Sotiris Kotitsas, Marco Romito, Zhilin Yang +1
We revisit the large-scale Gaussian fluctuations for the stochastic Landau-Lifshitz Navier-Stokes equation (LLNS) at and above criticality, using the method in \cite{CGT24}. With t…
math.PR2024
Weak coupling limit of a Brownian particle in the curl of the 2D GFF
Huanyu Yang, Zhilin Yang
In this article, we study the weak coupling limit of the following equation in : $$dX_t^\varepsilon=\frac{\hatλ}{\sqrt{\log\frac1\varepsilon}}ω^\varepsilon(X_t^\varep…