Mathematical Sciences: Research Planning Grants for Women Scienctists and Engineers

首席研究员将利用这笔奖金启动一个研究项目，研究具有分形边界的无限熵台球系统。她将使用伯努利理论和布朗运动理论来研究流体的扰动。她将尝试证明马尔可夫模型的鲁棒性，并研究具有奇点的动力系统。该奖项将支持动力系统一般领域的研究。一个非常简单的、局部容易理解的过程，可能变得极其复杂、非线性，难以全局分析。动力系统就是对这种局部到全局关系的研究。许多物理系统都可以用这个数学领域来最好地建模，包括流体流动和湍流、复杂的生物系统、机械系统和化学反应。

The principal investigator will use this award to initiate a research project in the study of infinite entropy billiard systems with a fractal boundary. She will use Bernoulli theory and the theory of Brownian motion to study perturbations of the flow. She will attempt to prove the robustness of the Markovian model and investigate dynamical systems with singularities. This award will support research in the general area of dynamical systems. A process which is very simple and easy to understand locally can become extremely complicated, nonlinear, and difficult to analyze globally. Dynamical systems is the study of this local to global relationship. Many physical systems can best be modeled using this area of mathematics including fluid flow and turbulence, complex biological systems, mechanical systems, and chemical reactions.