对数凹测度上最优输运映射的界
Bounds on optimal transport maps onto log-concave measures
摘要：
我们考虑严格对数凹测度，其界在无穷远退化。我们证明了从高斯到这样的测度的最优输运映射是局部Lipschitz的，并且其雅可比矩阵的特征值在无穷远处具有控制增长。
英文摘要：
We consider strictly log-concave measures, whose bounds degenerate at infinity. We prove that the optimal transport map from the Gaussian onto such a measure is locally Lipschitz, and that the eigenvalues of its Jacobian have controlled growth at infinity.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
