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Log-majorization for the Cartan barycenter
Yongdo Lim 教授 (韩国成均馆大学数学系)
2018-01-01 12:13  华东师范大学

报告人简介:

林龙道(Yongdo Lim)教授在 Jordan 代数和矩阵分析领域做出了非常优秀的工作。

报告内容简介:

We present some results from recent work with Fumio Hiai on Ando-Hiai's log-majorization for the Cartan barycenter of probability measures on the Riemannian manifold of positive definite matrices equipped with trace metric. The main key is the settlement of the monotonicity problem of the Cartan barycenteric map on the Wasserstein space of probability measures with finite first moment for the stochastic order induced by the cone.

主持人:詹兴致 教授