Mathematical Sciences: Emphasis Year in Stochastic Analysis

9314637徐扩散理论与分析研讨会将於六月二十五至三十日在西北大学举行。大会期间的主要活动包括15个受邀的一小时演讲和免费讨论环节。这次会议的主要目的是为从事扩散理论和分析以及其他相关领域的数学家提供一个机会，交流和更新他们在这一主题上的最新知识。扩散理论作为概率论的一部分，研究了一类特殊的随机系统的集体行为。这些随机系统的特点是它们在时间上不断演化，并具有所谓的马尔可夫性，这大致意味着一个系统的未来与它过去的历史无关，完全由它的当前状态决定。随机系统因其丰富的数学结构及其在科学和工程中的实际应用而受到广泛的研究。我们的会议强调扩散理论的数学方面，特别是它在分析领域的应用，如微分几何和微分方程。演讲者是经过精心挑选的，以反映该领域的当前技术水平。他们是活跃的研究数学家，他们的演讲无疑将促进该领域的进一步研究，并通过吸引新的研究生进入我们的领域来服务于当前的教育活动。

9314637 Hsu The Conference on Diffusion Theory and Analysis will take place at Northwestern University from June 25 to June 30, 1994. The major activities during the conference are 15 invited one-hour presentations and free discussion sessions. The main purpose of this conference is to offer an opportunity for the mathematicians working in diffusion theory and analysis and other related fields to communicate and update their latest knowledge on the subject. Diffusion theory as a part of probability theory studies collective behaviors of a special class of random systems. These random systems are characterized by the properties that they evolve continuously in time and possessing so-called Markov property, which roughly means that the future of a system is independent of its past history and is completely determined by its present state. The class of random systems have been studies extensively both for its rich mathematical structure and its practical applications in science and engineering. Our conference emphasizes the mathematical aspect of diffusion theory, especially its applications in analytical fields such as differential geometry and differential equations. The speakers are carefully selected to reflect the current state of the art of the field. They are active research mathematicians whose lectures will no doubt both promote further research in the field and serve current educational activities by attracting new graduate students into our field.