宋昆昆,湖南师范大学数学与统计学院讲师,主要研究连分数理论中的重分形分析、分形测度的Fourier变换. 在J.Math.Anal.Appl.,Fractals,J.Number Theory等知名期刊杂志发表文章数篇.
报告题目:Multifractal analysis of irrationality exponent and convergence exponent in continued fractions
摘要:This talk is concerned with the intersection of the level sets generated by irrationality exponent and convergence exponent. The Hausdorff dimension of the intersection is determined.