报告主题:Hausdorff dimension of recurrence sets for matrix transformations of tori
报 告 人:胡张楠博士(中国石油大学(北京))
报告时间:2024年4月2日(星期二)下午14:30-16:30
报告地点:34号楼503
邀 请 人:李兵教授
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数学学院
2024年 3月26日
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, Nonlinearity和Potential Analysis等国际著名刊物上发表论文6篇。