报告题目：Large families of pseudorandom binary lattices by using the multiplicative inverse modulo p
报告人： 刘华宁 教授
报告时间：2019年4月15日（周一）上午11：10-11:50
报告地点：尚贤楼706
主持人：方金辉 副教授
欢迎广大师生踊跃参加！ 报告人简介：
西北大学教授、博士生导师。钟家庆数学奖、全国优秀博士学位论文提名论文获得者，剑桥大学博士后。德国《数学文摘》评论员，美国《数学评论》评论员以及美国数学会会员。先后主持多项国家自然科学基金，并获得霍英东教育基金会第十三届高等院校青年教师奖以及两项省部级科学技术奖。
报告摘要：
P. Hubert, C. Mauduit and A. Sarkozy introduced pseudorandom measures for finite seudorandom binary lattices. K. Gyarmati, C. Mauduit, A. Sarkozy and C. L. Stewart presented some natural and flexible constructions, which are the two dimensional extensions and modifications of a few one dimensional constructions. The upper estimates for the pseudorandom measures of their binary lattices are based on the principle that character sums or exponential sums in two variables can be estimated by fixing one of the variables.
In this talk we construct two large families of $n$ dimensional pseudorandom binary lattices by using the multiplicative inverse modulo $p$, and study the properties: pseudorandom measure, collision and avalanche effect.
数学与统计学院
2019年4月11日