【Lecture】Some Dimension Results of Gaussian Random Fields

Publisher:陶琦Release time:2019-07-08Browse the number:21

主题:   Some Dimension Results of Gaussian Random Fields主讲人:   Dongsheng Wu地点:   松江校区2号学院楼331理学院报告厅时间:   2019-07-08 15:00:00组织单位:   理学院


Wu,Donghseng (吴冬生)博士,美国阿拉巴马大学(University of Alabama)教授,中国科学院与美国密歇根州立大学(Michigan State University)双博士学位,近期的研究领域为随机过程、随机域、随机分形及其应用。


In this talk, we present some Hausdorff and packing dimension results for image and graph sets of Gaussian random fields.In particular, for anisotropic Gaussian fields, we extend the notion of Hausdorff dimension, packing dimension and packing dimension profile to(anisotropic) metric spaces. We believe that these extensions are of independent interest. This talk is based on joint works with Y. Du, A. Estrade.J. Miao and Y. Xiao.