Exactly Solvable Models of Diffusion-Limited Reactions: The Method of Empty Intervals

提出了扩散限制非平衡动力学的一类模型，可以用“空区间”的方法精确分析。这些模型和它们的分析方法是重要的，因为通常缺乏对反应扩散系统的精确一致的方法。预计所提出的研究将导致对反应动力学的深入理解，并将有助于解决应用数学中有关偏微分方程分析的问题。

A family of models of diffusion-limited nonequilibrium kinetics is proposed, which can be analyzed exactly with the method of "empty intervals". The models, and their method of analysis, are important because of the lack of an exact coherent approach to reaction-diffusion systems in general. It is anticipated that the proposed research will result in deeper understanding of reaction kinetics, and will contribute also to questions in applied math, regarding the analysis of partial differential equations.