【摘要】 主要研究布朗单 W ={ W( s1 ,s2 ) :s1 ,s2 ≥ 0 }样本轨道的重分形分析问题 .在布朗单一致连续模的基础上讨论“α-快点集”的重分形分析性质 ,得到了两类不同增量形式的“α-快点集”的 Hausdorff维数 .更多还原

【Abstract】 The multifractal analysis of sample paths of Brownian sheet W={W(s 1,s 2):s 1,s 2≥0} is discussed.Based on the results of the uniform modulus of continuity for Brownian sheet,investigate the multifractal analysis properties of "fast points" sets with different increment forms and obtain their exact Hausdorff dimensions.更多还原