统计递归集中的鞅性质

统计递归集中的鞅性质 The Martingale Properties in Statistically Recursive Sets 胡迪鹤 HU Di\|he 1 first-author 武汉大学数学与计算机科学学院,武汉,430072 武汉大学数学与计算机科学学院,武汉,430072 College of Mathematics and Computer Science, Wuhan University, Wuhan 430072, China) \ College of Mathematics and Computer Science, Wuhan University, Wuhan 430072, China) \ 主要研究了统计递归集中一些相关的随机过程是否具有鞅性质，给出了一些充分条件以保证：生成统计递归集的统计压缩算子的 Ｌｉｐｓｃｈｉｔｚ 系数和所构成的随机过程具有鞅性质 这对研究统计递归集的维数及测度是有用的 The martingale properties of the related stochastic processes in statistically recursive sets are inverstigated, give some sufficient conditions to ensure the stochastic processes, constructed by the sums of Lipschitz coefficients of statistical contraction operators which generating the statistically recursive sets,being a martingale it is useful in the investigation of the dimensions and measures of statistically recursive sets.\; 统计递归集 鞅 统计压缩算子 统计相似压缩算子 statistically recursive sets martingales statistical contraction operators statistically similar contraction operators O211.6 国家自然科学基金(61672102) 1999-03-01 2021-04-01 3