Mathematical Sciences Research Equipment

这是数学科学部数学科学项目科学计算研究设备下的一项拨款。用于购买专用设备，以支持数学科学研究。一般来说，几个研究项目都需要这种设备，很难单独为一个项目提供理由。美国国家科学基金会的支持与制造商的折扣和捐款以及提交提案的机构的大量成本分摊相结合。这是大学、工业和政府合作支持数学科学基础研究的一个例子。本项目设备将用于以下研究项目；(1)随机环境下马尔可夫链的收敛速率、不变分布和吸收概率的数值逼近；(2)晶体中粒子通道的数学与计算研究；(3)生物适应度测度的比较；(4)细胞与环境相互作用的数学建模和数据分析。

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.