8 papers
Purified Projection Method and Uhlmann Fidelity for Mixed Hartree Dynamics
Hao Liang, Zhenfu Wang
We give a purification and fidelity formulation of the projection method for mixed Hartree data. For the mean-field evolution of -particle density matrices, we prove quantitativ…
Quantum Relative Entropy and the Mean-Field Limit
Gaoyue Guo, Hao Liang, Zhenfu Wang
We develop a quantum relative entropy method for the mean-field limit of quantum many-body systems. For closed systems governed by the von Neumann equation, we prove a quantitative…
Quantitative Propagation of Chaos for 2D Viscous Vortex Model with General Circulations on the Whole Space
Xuanrui Feng, Zhenfu Wang
We derive quantitative propagation of chaos in the sense of relative entropy for the 2D viscous vortex model with general circulations, approximating the vorticity formulation of t…
Mean-field limit of Non-exchangeable interacting diffusions with singular kernels
Zhenfu Wang, Xianliang Zhao, Rongchan Zhu
The mean-field limit of interacting diffusions without exchangeability, caused by weighted interactions and non-i.i.d. initial values, are investigated. The weights could be signed…
Quantitative Propagation of Chaos for 2D Viscous Vortex Model on the Whole Space
Xuanrui Feng, Zhenfu Wang
We derive the quantitative estimates of propagation of chaos for the large interacting particle systems in terms of the relative entropy between the joint law of the particles and…
Kac's Program for the Landau Equation
Xuanrui Feng, Zhenfu Wang
We study the derivation of the spatially homogeneous Landau equation from the mean-field limit of a conservative -particle system, obtained by passing to the grazing limit on Ka…