释义 |
Brownian sheet 基本例句 布朗单 Lower bound of functional limit theorem of increment forBrownian sheetin H?lder norm is proved by large deviations.利用Brownian单在H?lder范数下的大偏差;证明了Brownian单的增量在H?lder范数下的泛函极限定理的下界. In the second part,we give another proof of the existence ofBrownian sheetwhich all sample paths are continuous.第二部分,我们采用另外一种证明方法证明存在几乎所有轨道连续的布朗单。 We give a survey of two-parameter Markov processes, including 1) Introduction, 2) Definition and properties, 3)Brownian sheetand two-parameter Ornstein-Uhlenbeck processes, 4) Markov random fields, 5) Two-parameter Markov processes and potentials.本文综述两指标马尔可夫过程的理论;包括:1)引言;2)定义与性质;3)布朗单与两参数Ornstein-Uhlenbeck过程;4)马尔可夫随机场;5)二参数马程与位势. This proof uses two-parameter Borel-Cantelli lemma and maximum inequality ofBrownian sheet, which shows more characteristic in probability way. And the process of the proof is similar to that of single-parameter Brownian motion.该方法使用两参数Borell-Cantelli引理和布朗单的最大值不等式,证明较有概率论方法特点,并且类似于单指标布朗运动的情形。 |