Failure of almost uniform convergence for noncommutative martingales
报告人简介
洪桂祥，哈尔滨工业大学教授。他专注于调和分析、非交换分析及其在非交换几何和量子信息中的应用，为这一前沿领域的建立和发展做出重要贡献，已在Duke Mathematical Journal、Memoirs of the American Mathematical Society、Advances in Mathematics等顶级期刊发表论文30余篇。其研究方向涵盖经典与非交换调和分析、量子概率论、非交换遍历理论和泛函分析，尤其在非交换鞅论、非交换遍历论等方面取得突破，解决了若干公开问题。
内容简介
In this talk，I shall present the joint work with Eric Ricard, which asserts that the almost uniform convergence may not happen for truly noncommutative Lp -martingales when p < 2. The same happens to ergodic averages. The proof consists of some sharp estimates of the distributional function of a sequence of matrices and some non standard transference techniques, which might admit further applications.
