課程題目：Advanced Numerical Methods with Applications
授 課 人：Andrey Dorogovtsev professor（Institute of Mathematics，NAS Ukraine）
授課地點：Zoom會議 ID：會議号：852 4434 8793，密碼：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.
報告人簡介：Andrey Dorogovtsev教授是烏克蘭國家科學院通訊院士，烏克蘭國家科學院數學所随機過程理論系主任，主要從事概率論及其相關領域研究，是烏克蘭概率論研究方向學術領軍人物之一。Andrey Dorogovtsev教授是烏克蘭與德國、烏克蘭與俄羅斯等國家聯合項目的烏方負責人。同時，Andrey Dorogovtsev教授是《Theory of Stochastic Processes》、《Ukraine Mathematical Journal》等雜志的編委。
