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    Hausdorff Measure of the Range and Graph of Space-Time Anisotropic Gaussian Random Fields

    時間:2021.05.27 10:00-11:30

    地點:二號學院樓331

    主講人:陳振龍

    主講人簡介:

    陳振龍,教授,博士生導師,浙江工商大學統計與數學學院院長,博士生導師,浙江省數學學會常務理事,中國概率統計學會第十屆理事會理事,入選湖北省普通高??缡兰o學術骨干,湖北省151新世紀高層次人才,浙江工商大學西湖學者拔尖人才。

    主要研究領域有:金融統計、隨機過程與風險管理、隨機分形等。主持國家自然科學面上基金,教育部人文社科基金,其它省部級科研項目20余項。國家一流專業和一流課程負責人。在國內外概率統計主流學術刊物發表學術論文六十多篇。

    活動內容摘要:

    Let X = {X(t),t∈R^N}be a centered space-time anisotropic Gaussian random field with values in R^d with stationary increments, whose components are independent but may not be identically distributed. Under certain mild conditions, we determine the exact Hausdorff measure function for the range set X([0,1]^N)and graph set GrX([0,1]^N). Our result extends corresponding results proved by Talagrand (Ann Probab 23:767-775,1995) , Xiao (Math Proc Camb Phil Soc 122:565-576,1997) for fractional Brownian motion, and also Luan and Xiao (J Fourier Anal Appl 18:118-145,2012) for time-anisotropic and space-isotropic Gaussian random fields.

    主持人:閆理坦、張振中


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