A note on the run length function for intermittent maps
文献类型：期刊论文
| 作者 | Zhang, Yiwei1; Fang, Lulu2; Cui, Hongfei3 |
| 刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 2019-04-01 |
| 卷号 | 472期号:1页码:937-946 |
| 关键词 | Run length function Intermittent maps Erdos-Renyi law |
| ISSN号 | 0022-247X |
| DOI | 10.1016/j.jmaa.2018.11.058 |
| 英文摘要 | We study the run length function for intermittent maps. In particular, we show that the longest consecutive zero digits (resp. one digits) having a time window of polynomial (resp. logarithmic) length. Our proof is relatively elementary in the sense that it only relies on the classical Borel-Cantelli lemma and the polynomial decay of intermittent maps. Our results are compensational to the Erdos-Renyi law obtained by Denker and Nicol in [8]. (C) 2018 Elsevier Inc. All rights reserved. |
| WOS关键词 | MIXING RATES ; LAW |
| 资助项目 | National Natural Science Foundation of China[11701200] ; National Natural Science Foundation of China[11671395] ; National Natural Science Foundation of China[11801591] ; National Natural Science Foundation of China[11871262] ; Hubei Chenguang Talented Youth Development Foundation 2017[0106011025] ; Ky and Yu-Fen Fan traveling award, National Science Foundation 2018 |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000456896000048 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 资助机构 | National Natural Science Foundation of China ; National Natural Science Foundation of China ; Hubei Chenguang Talented Youth Development Foundation 2017 ; Hubei Chenguang Talented Youth Development Foundation 2017 ; Ky and Yu-Fen Fan traveling award, National Science Foundation 2018 ; Ky and Yu-Fen Fan traveling award, National Science Foundation 2018 ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Hubei Chenguang Talented Youth Development Foundation 2017 ; Hubei Chenguang Talented Youth Development Foundation 2017 ; Ky and Yu-Fen Fan traveling award, National Science Foundation 2018 ; Ky and Yu-Fen Fan traveling award, National Science Foundation 2018 ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Hubei Chenguang Talented Youth Development Foundation 2017 ; Hubei Chenguang Talented Youth Development Foundation 2017 ; Ky and Yu-Fen Fan traveling award, National Science Foundation 2018 ; Ky and Yu-Fen Fan traveling award, National Science Foundation 2018 ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Hubei Chenguang Talented Youth Development Foundation 2017 ; Hubei Chenguang Talented Youth Development Foundation 2017 ; Ky and Yu-Fen Fan traveling award, National Science Foundation 2018 ; Ky and Yu-Fen Fan traveling award, National Science Foundation 2018 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/14219]  |
| 专题 | 中国科学院武汉物理与数学研究所 |
| 通讯作者 | Zhang, Yiwei |
| 作者单位 | 1.Huazhong Univ Sci & Technol, Hubei Key Lab Engn Modeling & Sci Comp, Ctr Math Sci, Sch Math & Stat, Wuhan 430074, Hubei, Peoples R China 2.Sun Yat Sen Univ, Sch Math, Guangzhou 510275, Guangdong, Peoples R China 3.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Hubei, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, Yiwei,Fang, Lulu,Cui, Hongfei. A note on the run length function for intermittent maps[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2019,472(1):937-946. |
| APA | Zhang, Yiwei,Fang, Lulu,&Cui, Hongfei.(2019).A note on the run length function for intermittent maps.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,472(1),937-946. |
| MLA | Zhang, Yiwei,et al."A note on the run length function for intermittent maps".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 472.1(2019):937-946. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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