广州数学大讲坛第十二期
第一百一十三讲——奥卢大学吴猛研究员学术报告
题目：自相似测度的Fourier变换及应用
时间：2023年12月21日（周四）下午15：40——16：40
地点：理学实验楼314
报告人：吴猛研究员
摘要: In this talk, we shall study Fourier transforms of self-similar measures and their non-linear images. We shall in particular be focused on some results of Bernoulli convolutions and Erdos problems. Some basic notions on self-similar measures will be recalled, some useful techniques for studying fractal dimensions and Fourier transforms of these measures will be introduced. We will also introduce several results on Fourier decay of self-similar measures and their applications in number theory.
报告人简介：
吴猛，奥卢大学（芬兰）研究员。2013年于亚眠大学（法国）获得博士学位。主要研究方向为动力系统和分形几何及其在数论等领域的应用。研究成果已在Ann. Math., Adv. Math. ,Int. Math. Res. Not., Israel. J. Math.，Math. Z.等数学期刊上发表。
