论文标题
戴森·布朗尼（Dyson Brownian）运动和按平均曲率运动
Dyson Brownian Motion and motion by mean curvature
论文作者
论文摘要
我们通过（0，\ infty] $构建了dyson Brownian运动，通过调整布朗尼运动的外在构造，以riemannian的含量为遗传学矩阵范围内的小组轨道的几何形状。
We construct Dyson Brownian motion for $β\in (0,\infty]$ by adapting the extrinsic construction of Brownian motion on Riemannian manifolds to the geometry of group orbits within the space of Hermitian matrices. When $β$ is infinite, the eigenvalues evolve by Coulombic repulsion and the group orbits evolve by motion by (minus one half times) mean curvature.
