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学术讲座【Analysis on path space over a noncompact Riemannian manifold】

时间:2013-05-22浏览:483设置

时间:2013年05月23日(周四)15:00-16:00

地点:旗山校区理工楼统计实验室109

主讲:复旦大学 吴波副教授  

主办:数学与计算机科学学院

报告摘要:We construct a large class of quasi-regular Dirichlet form (including damped Dirichlet form) on path space over a general noncompact Riemannian manifold which is complete and stochastically complete. Extensions to free path spaces are also derived. In addition, we also prove a weighted Sobolev inequality with respect to the associated Dirichlet form. In particular, Poincare inequality can be established when the based manifold satisfies with some unbounded curvature conditions.

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