| Laplace Transformation and Ergodic Potential Kernel for q-Process in Random Environment |
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| 作者姓名： | LU Ping HU Dihe |
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| 作者单位： | [1]School of Mathematics and Statistics, Wuhan University,Wuhan 430072, Hubei, China [2]School of Mathematics and Statistics, Yunnan University,Kunming 650091, Yunnan, China |
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| 基金项目： | Supported by the National Natural Science Foundation of China （10371092） |
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| 摘 要： | This paper introduces some concepts such as q-process in random environment, Laplace transformation, ergodic potential kernel, error function and some basic lemmas.We study the continuity and Laplace transformation of random transition function. Finally, we give the sufficient condition for the existence of ergodic potential kernel for homogeneous q-processes in random environments.
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| 关 键 词： | 拉普拉斯变换 遍历位势核 随机过渡函数 随机环境 q-过程 |
| 文章编号： | 1007-1202（2007）02-0218-07 |
| 收稿时间： | 2006-03-15 |
Laplace transformation and ergodic potential kernel for <Emphasis Type="Italic">q</Emphasis>-process in random environment |
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| LU Ping HU Dihe.Laplace Transformation and Ergodic Potential Kernel for q-Process in Random Environment[J].Wuhan University Journal of Natural Sciences,2007,12(2):218-224. |
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| Authors: | Lü Ping Hu Dihe |
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| Institution: | (1) School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, Hubei, China;(2) School of Mathematics and Statistics, Yunnan University, Kunming, 650091, Yunnan, China |
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| Abstract: | This paper introduces some concepts such as q- process in random environment, Laplace transformation, ergodic potential kernel, error function and some basic lemmas.We study the continuity and Laplace transformation of random transition function. Finally, we give the sufficient condition for the existence of ergodic potential kernel for homogeneous q- processes in random environments. |
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| Keywords: | random transition function transition density func-tion in random environment q-process in random environment Laplace transformation ergodic potential kernel |
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