随机环境Q过程的存在性

随机环境Q过程的存在性 The Existence of Q-processes in Random Environments 田俊忠 TIAN Jun\|zhong 1 1 2 3 first-author 胡迪鹤 HU Di\|he 2 1 2 3 西北第二民族学院信息与计算科学系 西北第二民族学院信息与计算科学系 Department of Information and Calculation Science, The Second Northwest National Institute, Yinchuan 750021, Ninxia Department of Information and Calculation Science, The Second Northwest National Institute, Yinchuan 750021, Ninxia 武汉大学数学与统计学院,宁夏,银川,750021 武汉大学数学与统计学院,宁夏,银川,750021 School of Mathematics and Statistics, Wuhan University,Wuhan 430072, Hubei, China)\ School of Mathematics and Statistics, Wuhan University,Wuhan 430072, Hubei, China)\ ,湖北,武汉,430072 ,湖北,武汉,430072 研究了连续时间的可数状态的随机准转概阵的a .s.样本连续性及可微性 ,进而研究了随机环境Q过程的存在性 并构造出最小的随机环境Q过程 ,这对研究随机环境中的马氏过程也是有用的 We investigate almost surely path continuity and differentiability of random pre\|transition probability matrix with de numerable state in continuous\|time, further disscuss the existence of Q\|processes in random environments and give minimum Q\|process in random environments in the proof. Which is useful to investigate Markov processes with continuous\|time in random environments.\; 随机准转概阵 随机准转强阵 随机环境Q过程 a.s.样本连续性 a.s.样本可微性 O211.6 国家自然科学基金课题 （10 0 710 5 8 2 ）;武汉大学自强基金资助项目 2002-05-01 2021-04-01 5