Mathematical Sciences Research Equipment

这是数学科学部数学科学计划科学计算研究设备项目的一项拨款。它用于购买专门用于支持数学科学研究的特殊用途设备。一般来说，这种设备是几个研究项目所需要的，很难单独为一个项目证明是合理的。国家科学基金会的支持伴随着制造商的折扣和贡献，以及提交提案的机构的大量成本分担。这是大学、产业界和政府合作支持数学科学基础研究的一个例子。本项目中的设备将用于以下研究项目：(1)随机环境中马氏链的收敛速度、不变分布和吸收概率的数值逼近；(2)晶体中粒子沟道的数学和计算研究；(3)生物适宜性度量的比较；以及(4)细胞与环境相互作用的数学模型和数据分析。

This is a grant under the Scientific Computing Research Equipment for the Mathematical Sciences program of the Division of Mathematical Sciences. It is for the purchase of special purpose equipment dedicated to the support of research in the mathematical sciences. In general, this equipment is required by several research projects, and would be difficult to justify for one project alone. Support from the National Science Foundation is coupled with discounts and contributions from manufacturers, and with substantial cost-sharing from the institution submitting the proposal. This is an instance of university, industrial, and government cooperation in the support of basic research in the mathematical sciences. The equipment in this project will be used in the following research projects; (1) Numerical Approximation of Convergence Rates, Invariant Distributions and Absorption Probabilities for Markov Chains in Random Environments; (2) Mathematical and Computational Studies of Particle Channeling in Crystals; (3) Comparison of Measures of Biological Fitness; and (4) Mathematical Modelling and the Analysis of Data on the Interaction of Cells with Their Environment.