Cincinnati Symposium on Probability Theory and Applications 2009

2009年辛辛那提概率论与应用研讨会将于2009年3月20日至23日在辛辛那提大学举行，这是由查尔斯·菲尔普斯·塔夫特研究中心赞助的为期一年的概率论研究研讨会的一部分。研讨会将作为一个论坛，传播和交流概率论中一些活跃的研究领域的思想、问题和方法，重点关注那些因其科学和实践兴趣以及与其他领域的关系而选择的高影响力领域。这些面积是1。用鞅近似研究随机过程结构的新进展，与遍历理论的联系2. 随机过程的极限定理及其在统计学、金融学和统计推断中的应用，这些随机过程可能表现出强烈或长期的依赖性、非线性、重尾和其他特征；3. 概率论在DNA取证中的应用4. 大维随机矩阵。我们研讨会的一个独特之处在于法医基因组学专家的四场系列演讲。这些讲座将向研究生和初级教师介绍一个新兴的、令人兴奋的数学生物学领域，它依赖于复杂的概率技术。通过将四个相当集中的研究领域结合在一起，我们也希望促进极限定理、随机矩阵专家和将概率方法应用于法医基因组学的研究人员之间的互动

The Cincinnati Symposium on Probability Theory and Applications 2009 will take place March 20-23, 2009 at the University of Cincinnati, and is part of a year-long research seminar in probability theory sponsored by the Charles Phelps Taft Research Center. The Symposium will serve as a forum for dissemination and exchange of ideas, questions, and approaches in some active research areas in probability theory, focusing on high impact areas chosen because of their scientific and practical interest as well as to their relationship with other fields. These areas are 1. New advances in studying the structure of a stochastic process via a martingale approximation, connections to ergodic theory; 2. Limit theorems and applications in statistics, finance, and statistical inference for random processes which may exhibit strong or long-range dependence, nonlinearity, heavy tails and other features; 3. Probability Theory in DNA Forensics; 4. Large-dimensional random matrices. A unique feature of our symposium is a series of four talks by experts on forensic genomics. These talks will introduce graduate students and junior faculty to an emerging and exciting area of mathematical biology which relies on sophisticated probabilistic techniques. By combining together four fairly focused research areas, we also expect to foster interactions between specialists in limit theorems, random matrices, and the researchers who apply probabilistic methods to Forensic Genomics