A central limit theorem and law of the iterated logarithm for a random field with exponential decay of correlations
文献类型：期刊论文
| 作者 | Schmuland, B; Sun, W |
| 刊名 | CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES
 |
| 出版日期 | 2004-02-01 |
| 卷号 | 56期号:1页码:209-224 |
| 关键词 | law of the iterated logarithm |
| ISSN号 | 0008-414X |
| 英文摘要 | In [6], Walter Philipp wrote that "...the law of the iterated logarithm holds for any process for which the Borel-Cantelli Lemma, the central limit theorem with a reasonably good remainder and a certain maximal inequality are valid". Many authors [1], [2], [4], [5], [9] have followed this plan in proving the law of the iterated logarithm for sequences (or fields) of dependent random variables. We carry on this tradition by proving the law of the iterated logarithm for a random field whose correlations satisfy an exponential decay condition like the one obtained by Spohn [8] for certain Gibbs measures. These do not fall into the phi-mixing or strong mixing cases established in the literature, but are needed for our investigations [7] into diffusions on configuration space. The proofs are all obtained by patching together standard results from [5], [9] while keeping a careful eye on the correlations. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000188711600010 |
| 出版者 | CANADIAN MATHEMATICAL SOC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19411]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Schmuland, B |
| 作者单位 | 1.Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada 2.Chinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Schmuland, B,Sun, W. A central limit theorem and law of the iterated logarithm for a random field with exponential decay of correlations[J]. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES,2004,56(1):209-224. |
| APA | Schmuland, B,&Sun, W.(2004).A central limit theorem and law of the iterated logarithm for a random field with exponential decay of correlations.CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES,56(1),209-224. |
| MLA | Schmuland, B,et al."A central limit theorem and law of the iterated logarithm for a random field with exponential decay of correlations".CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES 56.1(2004):209-224. |
入库方式： OAI收割
来源：数学与系统科学研究院
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