In [ 3 ] , it was shown that the hausdorff dimension of level set of one - dimensional brownian sample paths is 1 / 2 with probability 1 文[ 3 ]證明了對于一維brown運動,幾乎所有的樣本軌道的水平集的hausdorff維數(shù)是1 / 2 。
There are some results " on the study of a n - dimensional nondegenerate diffusion process . in [ 1 ] , for n 2 , the hausdorff dimension of image set of its sample path is obtained , but for n = l , only its upper bound estimate ( see [ 2 ] ) 文[ 1 ]得到了n維( n 2 )非退化擴散過程樣本軌道的象集的hausdorff維數(shù),而對n = 1時,只得到了其象集的hausdorff維數(shù)的一個上界估計(見[ 2 ] ) 。
The multiscale sample paths based on distinctive order tree are presented by computer simulation . second , we present the method of 3x3 - order tree - based of redundant multiscale representation for 2 - d markov random fields , and we propose a class of non - redundant multiscale model for reduced - order approximately representing gaussian markov random fields making ties to multiscale analysis 2 、給出了2 - d馬爾可夫隨機場基于3 3階樹有冗余的多尺度表示方法,并結(jié)合多尺度分析的思想,建立了2 - d高斯馬爾可夫隨機場降階、近似、無冗余的多尺度表示模型。