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Convergence theorems for contractive barycentric maps
日合文雄(Fumio Hiai)教授(日本东北大学)
2018年6月13日 (周三) 下午15: 00  闵行校区数学楼 401 报告厅

报告内容简介:
I first explain a theory of conditional expectations for random variables with values in a complete metric space equipped with a contractive barycentric map b, and then give convergence theorems for martingales of b-conditional expectations. I give the Birkhoff ergodic theorem for b-values of ergodic empirical measures and provide a description of the ergodic limit function in terms of the b-conditional expectation. Moreover, the large derivation property of b-values of i.i.d. empirical measures is obtained by applying the Sanov large deviation principle.

主持人:詹兴致 教授