关于举行法国南巴黎大学Arnaud Durand副教授短期课程的通知

课程名称：Describability via ubiquity and eutaxy in Diophantine approximation

授课教师：Arnaud Durand 副教授(法国南巴黎大学)

邀   请 人：武文副教授

授课时间：

欢迎广大师生前往！              

                                  数学学院

                                                           2019年12月4日

课程简介：

I will present a comprehensive framework for the study of the size and large intersection properties of sets of limsup type that arise naturally in Diophantine approximation and multifractal analysis. This setting encompasses the classical ubiquity techniques, as well as the mass and the large intersection transference principles, thereby leading to a thorough description of the properties in terms of Hausdorff measures and large intersection classes associated with general gauge functions. The sets issued from eutaxic sequences of points and optimal regular systems may naturally be described within this framework. The discussed applications will include the classical homogeneous and inhomogeneous approximation, the approximation by algebraic numbers, the approximation by fractional parts, the study of uniform and Poisson random coverings, and the multifractal analysis of Levy processes.

授课人简介：

Arnaud Durand副教授，研究方向主要涉及几何测度论，分形几何，动力系统，调和分析以及数论。现为法国南巴黎大学副教授。Arnaud Durand副教授多次在分形几何，概率论与动力系统国际学术会议和短期学术交流活动中做受邀报告。其中，在清华大学曾主讲了为期一个月的调和分析课程。担任任多个高水平杂志的审稿人，至今发表高水平SCI学术论文18篇。