Mathematical Sciences: Stochastic Processes

数学科学：随机过程

• 批准号: 8701073
• 负责人: Richard Bass
• 金额: $ 3.51万
• 依托单位: University of Washington
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1987
• 资助国家: 美国
• 起止时间: 1987-07-01 至 1989-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8701073&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Stochastic; Processes

Professor Bass will work on problems in three areas of stochastic processes: the construction and properties of Brownian motion on fractals; properties of set-indexed and multiparameter processes; and probabilistic approaches to singular integrals. The theory of stochastic processes is part of the larger category of probability theory. Generally speaking, this subfield deals with changes in a system that occur over time in probabilistic fashion. Professor Bass is recognized by his peers as one of the stronger young probabilists working in this subfield. The results of his research will be eagerly awaited.

巴斯教授将在三个领域的问题， 随机过程的构造与性质 分形上的布朗运动;集指标和 多参数过程和概率方法 奇异积分 随机过程理论是 概率论的更大范畴。 一般 也就是说，这一子领域涉及系统中发生的变化， 随着时间的推移，以概率的方式。 拜斯教授被公认为 被他的同龄人认为是一个更强大的年轻概率学家， 这个子区域。 他的研究成果将被热切地 等待。