课程题目：Advanced Numerical Methods with Applications

授 课 人：Andrey Dorogovtsev professor（Institute of Mathematics，NAS Ukraine）

授课地点：Zoom会议 ID：会议号：852 4434 8793，密码：075030

Abstract: This course aims to provide a solid introduction on some advanced numerical methods and its applications. The first part of the course will introduce the definition of local times and Gaussian functionals, then discuss some properties when local times as a Gaussian functionals. And the second part of the course is devoted to introduce Hausdorff measure and dimension, then use the Hausdorff measure and dimension to discuss sef-intersections set of Brownian motion. Professor Andrey will give students some time to understand the knowledge and give some small questions about the lecture.

报告人简介：Andrey Dorogovtsev教授是乌克兰国家科学院通讯院士，乌克兰国家科学院数学所随机过程理论系主任，主要从事概率论及其相关领域研究，是乌克兰概率论研究方向学术领军人物之一。Andrey Dorogovtsev教授是乌克兰与德国、乌克兰与俄罗斯等国家联合项目的乌方负责人。同时，Andrey Dorogovtsev教授是《Theory of Stochastic Processes》、《Ukraine Mathematical Journal》等杂志的编委。