Interacting Particle Systems and Random Media: An Overview
本文综述了相互作用粒子系统(如随机伊辛模型和排他过程)与随机介质(如渗流过程)的理论进展,适合对空间随机过程感兴趣的物理学家和数学家。
Summary We have learned much about spatial random processes during the last 15 years. Physical science is a rich source of interesting questions, some of which have motivated probabilists to develop related mathematical theory. We describe something of two such theories here, concerning interacting particle systems and random media. In the first category, we concentrate on the stochastic Ising model and the exclusion process, and in the second on the percolation process and the question of flows through random media. We attempt to describe the general flavours of these topics, with brief accounts of recent developments and important open problems.