格点巢分形上的渗流模型

Percolation Model on Lattice Nested Fractals

该文研究了一类格点分形图 (格点巢分形 )上的渗流模型 ,证明了该模型没有临界现象 ,进一步给出一个指数衰减律 .同时 。

This paper will study the percolation model on one kind of lattice fractals(lattice nested fractals), prove that there is no critical phenomenon for this percolation model and give one law of exponent decay. Moreover, it will prove that there is no critical phenomenon for bond percolation model on finite branched graph.