本文讨论N指标d维布朗单样本轨道三种不同情形,即坐标方向增量、矩形增量和局部增量的粗糙重分形分析,分别给出了它们的精确结果.

This paper studies the coarse multifractal analysis for sample paths of Nparameter R~d-valued Brownian sheet.We obtain the exact values for three different increments,which denote the direction coordinate increments,the rectangle increments and the local increments,respectively.