Probability

可能性

• 批准号: CRC-2018-00212
• 负责人: Murugan, Mathav
• 金额: $ 8.74万
• 依托单位: University of British Columbia
• 依托单位国家: 加拿大
• 项目类别: Canada Research Chairs
• 财政年份: 2019
• 资助国家: 加拿大
• 起止时间: 2019-01-01 至 2020-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=693265
• 关键词: Probability

Suppose that you are given the shape of an object, what can you calculate about the behaviour of heat diffusion of that object? Conversely, if you are given the behaviour of heat diffusion of an object, can you deduce some information about its shape? Which geometric features of the object are really essential to determine the behaviour of heat diffusion? How do small changes to the shape of an object affect the behaviour of heat diffusion? These fundamental questions and their variants will be explored in the proposed research program using ideas from probability theory and differential equations.

假设你有一个物体的形状，你能计算出这个物体的热扩散行为吗？相反，如果你知道一个物体的热扩散行为，你能推断出它的形状吗？物体的哪些几何特征是决定热扩散行为的关键？物体形状的微小变化如何影响热扩散的行为？这些基本问题及其变体将在提议的研究计划中使用概率论和微分方程的思想进行探索。