Mathematical Sciences: Emphasis Year in Stochastic Analysis

小行星9314637 关于扩散理论和分析的会议将于1994年6月25日至6月30日在西北大学举行。 会议期间的主要活动是15个一小时的特邀演讲和自由讨论会。 本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交流和更新其最新知识的机会。 扩散理论作为概率论的一部分，研究一类特殊随机系统的集体行为。 这些随机系统的特征是它们在时间上连续演化，并具有所谓的马尔可夫性，这大致意味着系统的未来与其过去的历史无关，完全由其当前状态决定。 这类随机系统由于其丰富的数学结构和在科学和工程中的实际应用而得到广泛的研究。 我们的会议强调扩散理论的数学方面，特别是它在微分几何和微分方程等分析领域的应用。 演讲者经过精心挑选，以反映该领域的当前艺术水平。 他们是积极的研究数学家，其讲座无疑将促进进一步研究领域和服务于当前的教育活动，吸引新的研究生进入我们的领域。

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.