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关于举行胡张楠博士(中国石油大学(北京))学术报告会的通知

发布时间:2024-04-01文章来源:华南理工大学数学学院浏览次数:411

报告主题:Hausdorff dimension of recurrence sets for matrix transformations of tori  

    人:胡张楠博士(中国石油大学(北京))

报告时间:202442日(星期二)下午14:30-16:30

报告地点:34号楼503

    人:李兵教授

 

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数学学院

2024 326

报告摘要:

     The Poincaré recurrence theorem shows that for certain measure-preserving dynamical systems, almost all points are recurrent. This is a qualitative result in nature with no quantitative information. In 1993, Boshernitzan obtained a quantitative result, which was further refined in dynamical systems. In this talk, we will discuss the Hausdorff dimension of recurrence sets for expanding toral endomorphisms. The talk is based on a joint work with Prof. Bing Li.

 

专家简介:

    胡张楠,华南理工大学博士,现就职于中国石油大学(北京)。主要从事分形几何与动力系统的研究,在Mathematische Zeitschrift, NonlinearityPotential Analysis等国际著名刊物上发表论文6篇。