A new characterization of quadratic transportation-information inequalities
文献类型：期刊论文
| 作者 | Liu, Yuan
|
| 刊名 | PROBABILITY THEORY AND RELATED FIELDS
 |
| 出版日期 | 2017-08-01 |
| 卷号 | 168期号:3-4页码:675-689 |
| 关键词 | Transportation-information inequality Talagrand's inequality Log-Sobolev inequality Lyapunov condition Transference principle |
| ISSN号 | 0178-8051 |
| DOI | 10.1007/s00440-016-0721-5 |
| 英文摘要 | It is known that a quadratic transportation-information inequality interpolates between the Talagrand's inequality and the log-Sobolev inequality (LSI for short). The aim of this paper is threefold: (1) To prove the equivalence of and the Lyapunov condition, which gives a new characterization inspired by Cattiaux et al. (Probab Theory Relat Fields 148(1-2):285-304, 2010). (2) To prove the stability of under bounded perturbations, which gives a transference principle in the sense of Holley-Stroock. (3) To prove through a restricted , which gives a counterpart of the restricted LSI presented by Gozlan et al. (Ann Probab 39(3):857-880, 2011). |
| 语种 | 英语 |
| WOS记录号 | WOS:000403710700005 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/25827]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Liu, Yuan |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu, Yuan. A new characterization of quadratic transportation-information inequalities[J]. PROBABILITY THEORY AND RELATED FIELDS,2017,168(3-4):675-689. |
| APA | Liu, Yuan.(2017).A new characterization of quadratic transportation-information inequalities.PROBABILITY THEORY AND RELATED FIELDS,168(3-4),675-689. |
| MLA | Liu, Yuan."A new characterization of quadratic transportation-information inequalities".PROBABILITY THEORY AND RELATED FIELDS 168.3-4(2017):675-689. |
入库方式： OAI收割
来源：数学与系统科学研究院
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