【摘要】 本文利用量纲分析的方法,对分形中周长—面积关系与一般分形曲线的长度公式的量纲进行了分析;给出了普通标度理论与分形中标度变换间的定量关系。我们给出了描述随机耗散系统中分形的一种数学理论与分形结构上的输运过程,并讨论了某些预言性的结果,有待实验上加以证明。更多还原

【Abstract】 In this paper, the relation of perimeter-area and the length formula of ordinary fraetal curve in fractal arc considered by the method of the dimentional analysis; the quantitative relation between the ordinary scaling transformation and scaling transformation in fractal is established. Finally,we give F-P equation of fractional Brownian motion.更多还原