标题： 周期性洛伦兹气体的玻尔兹曼-格拉德极限 显示英文标题

标题： The Boltzmann-Grad limit of the periodic Lorentz gas

摘要： 我们研究点粒子在周期性球体散射体阵列中的动力学，并构建一个随机过程，该过程在低散射体密度（玻尔兹曼-格拉德极限）下描述随机初始数据的时间演化。 极限过程的一个典型路径是一条分段线性曲线，其连续线段由一个二阶记忆的马尔可夫过程生成。 显示英文摘要

摘要： We study the dynamics of a point particle in a periodic array of spherical scatterers, and construct a stochastic process that governs the time evolution for random initial data in the limit of low scatterer density (Boltzmann-Grad limit). A generic path of the limiting process is a piecewise linear curve whose consecutive segments are generated by a Markov process with memory two.