论文标题
在Lipschitz上的运输特性上
On the Lipschitz properties of transportation along heat flows
论文作者
论文摘要
我们证明了由金和米尔曼（Kim and Milman）构建的沿热量流的传输图的新Lipschitz特性。对于（半log-concave测量和高斯混合物，我们的边界都有多种应用：特征值比较，尺寸功能不平等和分布函数的统治。
We prove new Lipschitz properties for transport maps along heat flows, constructed by Kim and Milman. For (semi)-log-concave measures and Gaussian mixtures, our bounds have several applications: eigenvalues comparisons, dimensional functional inequalities, and domination of distribution functions.
