报告人简介
鲁大伟，大连理工大学教授，博士生导师。2004年毕业于大连理工大学，获学士学位；2009年毕业于大连理工大学，获博士学位。主要研究方向：极限理论、精细大偏差、破产概率、概率不等式等。在国内外学术刊物Insurance: Mathematics and Economics，Journal of Theoretical Probability, Statistics & Probability Letter, Methodology and Computing in Applied Probability等传统概率杂志以及Proceedings of the American Mathematical Society，CSIAM Transactions on Applied Mathematics等综合性杂志上发表学术论文数十篇。负责主持国家自然科学基金，青年项目一项，面上项目两项。承担校企合作产学研横向课题十多项。目前分别担任中国现场统计研究会教育统计与管理分会, 统计交叉科学研究分会理事。
内容简介
Motivated by the questions posed by W. V. Li and A. Wei and the conjecture of E. Lundberg and A. Thomack, we study the expected number of zeros of random harmonic polynomials with independently and identically distributed Gaussian coefficients. We verify the conjecture of E. Lundberg and A. Thomack that the expectation is O(n) when deg p = α deg q, where 0 < α < 1. This result extends the previous estimates when m is a fixed constant or m = n to more general case.
