Questions in Probability Related to Isoperimetry and Random Fourier Series

[803239] Houdre教授正在研究概率和统计方面的各种课题。他的理论工作包括乘积概率测度的等周问题、图和马尔可夫链、基于折刀的偏差不等式和随机傅立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误差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，这些算法用于绘制大肠杆菌和最近的幽门螺杆菌。他在航空航天工程方面的工作涉及将随机算法应用于高速民用运输机的设计。这些应用活动的理论基础也将得到提高，因为等周方法通常提供对具有大量应用的概率分布的良好估计。特别是，Houdre教授将继续在现代统计重新抽样方法和一般统计类别的分布估计之间架起桥梁。最后，他在随机傅立叶级数方面的工作将为分析分形物理现象提供工具和方法。

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.