Mathematical Sciences: Tangency, Hypercontractivity and other Domination Concepts for Stochastic Processes

数学科学：随机过程的相切性、超收缩性和其他支配概念

• 批准号: 9010507
• 负责人: Wojbor Woyczynski
• 金额: $ 1万
• 依托单位: Case Western Reserve University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1990
• 资助国家: 美国
• 起止时间: 1990-08-01 至 1991-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9010507&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Tangency; Hypercontractivity; other

The principal investigator with his collaborator S. Kwapien will study new methods for comparison of sums of independent random variables, martingale difference sequences, subordinated sequences, and other dominated sequences. The techniques that will be employed exploit the concepts of tangency, decoupling and hypercontractivity. These methods are applied to study of continuous time stochastic processes and single and multiple stochastic integrals.

主要研究者和他的合作者S。夸皮恩 将研究新的方法来比较独立的 随机变量，鞅差序列，从属 序列和其他优势序列。 的技巧 将利用相切、解耦的概念 和收缩过度 这些方法被应用于研究 连续时间随机过程和单次和多次 随机积分