典型文献
HITTING PROBABILITIES AND INTERSECTIONS OF TIME-SPACE ANISOTROPIC RANDOM FIELDS
文献摘要：
Let XH={XH(s),s ∈ RN1}and XK={XK(t),t ∈ RN2}be two independent time-space anisotropic random fields with indices H E(0,1)N1 and K E(0,1)N2,which may not possess Gaussianity,and which take values in Rd with a space metric τ.Under certain general conditions with density functions defined on a bounded interval,we study problems regarding the hitting probabilities of time-space anisotropic random fields and the existence of intersections of the sample paths of random fields XH and XK.More generally,for any Borel set F ? Rd,the conditions required for F to contain intersection points of XH and XK are established.As an application,we give an example of an anisotropic non-Gaussian random field to show that these results are applicable to the solutions of non-linear systems of stochastic fractional heat equations.
文献关键词：
中图分类号：
作者姓名：
Jun WANG;Zhenlong CHEN
作者机构：
School of Statistics and Mathematics,Zhejiang Gongshang University,Hangzhou 310018,China;School of Mathematics and Finance,Chuzhou University,Chuzhou 239000,China
文献出处：
引用格式：
[1]Jun WANG;Zhenlong CHEN-.HITTING PROBABILITIES AND INTERSECTIONS OF TIME-SPACE ANISOTROPIC RANDOM FIELDS)[J].数学物理学报（英文版）,2022(02):653-670
A类：
HITTING,PROBABILITIES,INTERSECTIONS,ANISOTROPIC,RANDOM,FIELDS,RN1,RN2
B类：
OF,TIME,SPACE,Let,XH,XK,be,two,independent,space,anisotropic,random,fields,indices,which,may,not,possess,Gaussianity,take,values,Rd,metric,Under,certain,conditions,density,functions,defined,bounded,interval,we,study,problems,regarding,hitting,probabilities,existence,intersections,sample,paths,More,generally,any,Borel,set,required,contain,points,are,established,application,give,example,show,that,these,results,applicable,solutions,linear,systems,stochastic,fractional,heat,equations
AB值：
0.515954
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