分形渗流中的定理新证明方法  

A New Method of Proving Theoremsorems in Fractal Percolation

作　　者：曹苏娜[1] 王素云[1] 曹贻鹏[1] 董玉才[1] 

机构地区：[1]装甲兵工程学院基础部,北京100072

出　　处：《山西师范大学学报（自然科学版）》2010年第4期51-53,共3页Journal of Shanxi Normal University(Natural Science Edition)

基　　金：装甲兵工程学院战略投资项目(2009ZL05)

摘　　要：分形渗流又称为Mandelbrot's渗流,这种渗流模型的建立大大扩充了概率论的研究领域,也为统计物理提供了严格的数学依据.本文利用分支过程证明了分形渗流理论中的重要定理.The Fractal Percolation is also known as Mandelbrot＇s Percolation,the construction of this model extends the reaserch fields of probability,and also provides mathematical basis for Statistical Physics.In the paper,by using Branching Process,we have proved the theorems in Fractal Percolation Thoery.By this new proof method,we can easily understand these two theorems for the deeper discussions.

关 键 词：分形渗流 临界概率 分支过程 

分 类 号：O211[理学—概率论与数理统计]