三维随机Sierpinski地毯电阻的极限  

The Limit of the Resistance of 3 Dimension Sierpinski Carpet

作　　者：孙洪祥[1] 

机构地区：[1]北京邮电大学基础科学部

出　　处：《北京邮电大学学报》1997年第4期19-25,共7页Journal of Beijing University of Posts and Telecommunications

摘　　要：令Ｅｎ为构造三维随机Ｓｉｅｒｐｉｎｓｋｉ地毯的第ｎ步，记Ｒｎ为Ｅｎ左右两端面之间的有效电阻值，证明了三维随机Ｓｉｅｒｐｉｎｓｋｉ地毯电阻的极限定理．The theorem on the limit of the resistance of 3 dimensional random Sierpinski carpet is proved, in which E n is given as the nth stage in the construction of the Sierpinski carpet and R n the effective resistance between the left and the right ends of E n.

关 键 词：随机过程 SIERPINSKI地毯 三维随机 地毯电阻 

分 类 号：O211.6[理学—概率论与数理统计]