Mathematical Sciences: Research Planning Grants for Women Scienctists and Engineers

主要研究者将利用该奖项发起一项 无限熵台球研究项目 具有分形边界的系统。她会用伯努利理论 和布朗运动的理论来研究扰动的 流她将试图证明马尔可夫模型的鲁棒性 建模和研究具有奇异性的动力系统。 该奖项将支持一般领域的研究， 动力系统一个非常简单和容易的过程， 局部理解会变得非常复杂，非线性， 很难在全球范围内进行分析。动力系统是研究 从本地到全球的关系。许多物理系统可以 最好是用这一领域的数学建模，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.