Mathematical Sciences: Fractal Encoding of Rock Fractures

该项目结合了迭代的数学理论， 功能系统与地球物理（可观察）现象， 齿条断裂。 目的是确定岩石 裂缝可以通过迭代函数系统代码来表征， 如果是的话，这些代码的预测有效性如何？ 与地震有关的现象。 该奖项支持跨学科的努力和 发展研究合作， 地球科学中的建模。 尤其是数学家 而数学家们会把注意力集中在数学上 从混沌动力学导出的模型来模拟和预测岩石 骨折及相关现象。

This project unites the mathematical theory of iterated functions systems with the geophysical (observable) phenomena of rack fractures. The aim is to determine whether or not rock fractures can be characterized by iterated function system codes, and if so, what predictive validity these codes might then have for fracture-related phenomena. This award supports the cross-disciplinary efforts and the development of a research collaboration involving quantitative modelling in the geosciences. In particular the mathematicians and the geophysicists will focus their attention on mathematical models derived from chaotic dynamics to model and predict rock fractures and related phenomena.