一次穿越天平的数学之旅A mathematical journey through scales |
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课程网址: | https://videolectures.net/8ecm2021_hairer_mathematical_journey/ |
主讲教师: | Martin Hairer |
开课单位: | 8ECM会议 |
开课时间: | 2021-07-06 |
课程语种: | 英语 |
中文简介: | 粒子和原子的微小世界和整个宇宙的巨大世界被跨越大约四十个数量级的尺度分隔开。当我们从一个走向另一个时,自然定律可以以截然不同的方式表现,从量子物理学到广义相对论,再到牛顿的经典力学,更不用说其他中间的“特设”理论了。理解数学模型的行为在我们从一个尺度移动到另一个尺度时的变化方式是数学和理论物理学中的一个伟大的经典问题。本次演讲的目的是探索这些问题如何仍然为概率论中有趣的问题提供信息和激励,以及为什么所谓的玩具模型,尽管表面上很有趣,但有时可以产生有用的定量(而不仅仅是定性)预测。 |
课程简介: | The tiny world of particles and atoms and the gigantic world of the entire universe are separated by scales spanning about forty orders of magnitudes. As we move from one to the other, the laws of nature can behave in drastically different ways, going from quantum physics to general relativity through Newton’s classical mechanics, not to mention other intermediate ”ad hoc” theories. Understanding the way in which the behaviour of mathematical models changes as we move from one scale to another is one of the great classical questions in mathematics and theoretical physics. The aim of this talk is to explore how these questions still inform and motivate interesting problems in probability theory and why so-called toy models, despite their superficially playful character, can sometimes lead to useful quantitative (and not just qualitative) predictions. |
关 键 词: | 数学之旅; 自然定律; 数学模型 |
课程来源: | 视频讲座网 |
数据采集: | 2024-05-23:liyq |
最后编审: | 2024-05-23:liyq |
阅读次数: | 11 |