主題:Dimension and Measure of the Range and Graph of Space-Time Anisotropic Gaussian Random Fields
主講人:陳振龍(浙江工商大學(xué)教授)
時間:2023.05.23 16:00-17:00
地點(diǎn):南山1號樓415會議室
Abstract: Letbe a centered space-time anisotropic Gaussian random field with values in with stationary increments, whose components are independent but may not be identically distributed. Under certain mild conditions, we determine the exact Hausdorff measure functions, Hausdorff and packing dimensions for the range setand graph set. Our results extend corresponding results for fractional Brownian motion, time-anisotropic and space-isotropic Gaussian random fields.
主講人簡介:陳振龍,教授,,博士生導(dǎo)師,浙江省數(shù)學(xué)學(xué)會常務(wù)理事,中國概率統(tǒng)計學(xué)會理事,,入選湖北省普通高校跨世紀(jì)學(xué)術(shù)骨干,,湖北省151新世紀(jì)高層次人才,浙江工商大學(xué)西湖學(xué)者拔尖人才,,國家一流專業(yè)和一流課程負(fù)責(zé)人,。主要研究領(lǐng)域有:隨機(jī)過程與風(fēng)險管理、隨機(jī)場與隨機(jī)分形等,。主持國家自然科學(xué)面上基金,,教育部人文社科基金,其它省部級科研項目多項,。在國內(nèi)外學(xué)術(shù)刊物發(fā)表學(xué)術(shù)論文六十多篇,。