Questions in Probability Related to Isoperimetry and Random Fourier Series

9803239 Houdre Houdre教授正在研究概率和统计学中的各种主题。 他的理论工作包括乘积概率测度的等周问题、图和马尔科夫链、基于刀切的偏差不等式以及随机傅里叶级数研究的新方向。 他的应用项目包括研究生物统计建模中的错误概率以及偏差不等式在航空航天工程中的应用。Houdre教授在生物信息学方面的工作解决了流行的基因组测序算法中固有的错误问题，这些算法用于E. Coli和最近的H. Pylori 他在航空航天工程方面的工作涉及随机算法在高速民用运输飞机设计中的应用。 这些应用活动的理论基础也将被推进，因为等周方法往往提供了很好的估计概率分布，有大量的应用。 特别是，教授hudre将继续桥梁现代统计reservation方法和分布估计一般类的统计。最后，他的工作随机傅立叶级数将提供工具和方法的分析分形类物理现象。

9803239HoudreProfessor Houdre is investigating various topics in probability and statistics. His theoretical work includes isoperimetric problems for product probability measures, graphs and Markov chains, jackknife based deviation inequalities and new directions in the study of random Fourier series. His applied projects include studying the probability of error in biostatistical modeling as well as the application of deviation inequalities in aerospace engineering.Professor Houdre's work in bioinformatics addresses questions of error inherent in popular genome sequencing algorithms which were used in the mapping of E. Coli and more recently, H. Pylori. His work in aerospace engineering involves the application of stochastic algorithms to the design of high speed civil transportation aircraft. The theoretical underpinnings of these applied activities will also be advanced since isoperimetric methods often provide good estimates of probability distributions which have a tremendous number of applications. In particular, Professor Houdre will continue to bridge modern statistical resampling methods and distribution estimates for general classes of statistics. Finally his work on random Fourier series will provide tools and methods for the analysis of fractal-like physical phenomena.