| 半直线上独立随机环境中随机游动的常返性 |
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| 引用本文： | 何少锋,刘次华. 半直线上独立随机环境中随机游动的常返性[J]. 华中科技大学学报(自然科学版), 2004, 32(10): 97-99 |
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| 作者姓名： | 何少锋 刘次华 |
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| 作者单位： | 华中科技大学,数学系,湖北,武汉,430074;华中科技大学,数学系,湖北,武汉,430074 |
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| 基金项目： | 国家自然科学基金资助项目 (70 2 710 6 9) |
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| 摘 要： | 主要研究了在随机变量独立但不同分布的情形下，右半直线上随机环境中的随机游动的常返性和非常返性，并进一步研究常返性中的正常返和零常返，得到了较完善的结果，推广了Solomon的研究框架。
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| 关 键 词： | 随机环境 随机游动 常返性 非常返 正常返 零常返 |
| 文章编号： | 1671-4512(2004)10-0097-03 |
| 修稿时间： | 2003-12-01 |
Recurrence of random walks in independent environment on half-line |
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| He Shaofeng Liu CihuaPostgraduate,Dept. of Math.,Huazhong Univ. of Sci., Tech.,Wuhan ,China.. Recurrence of random walks in independent environment on half-line[J]. JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE, 2004, 32(10): 97-99 |
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| Authors: | He Shaofeng Liu CihuaPostgraduate Dept. of Math. Huazhong Univ. of Sci.& Tech. Wuhan China. |
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| Affiliation: | He Shaofeng Liu CihuaPostgraduate,Dept. of Math.,Huazhong Univ. of Sci.& Tech.,Wuhan 430074,China. |
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| Abstract: | The recurrence or nonrecurrence of random walks was studied in independent and differently distributed random environment on the right half line based on the conclusion of Solomon and others. Positive recurrence and null recurrence in the recurrence were researched and the conclusion was gotten. The Solomon frame was extended. |
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| Keywords: | random environment random walks recurrence nonrecurrence positive recurrence null recurrence |
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