A mixture of the exclusion process and the voter model
A mixture of the exclusion process and the voter model
复制标题
排除过程和选民模型的混合
DOI：
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复制
发表时间：
2000
期刊：
影响因子：
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通讯作者：
S. Popov
中科院分区：
文献类型：
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作者：
V. Belitsky;P. Ferrari;M. Menshikov;S. Popov
我们考虑了一维最近邻相互作用粒子系统，它是简单排斥过程和投票者模型的混合体。状态空间被认为是在原点的右边有有限数目的粒子和在它的左边有有限数目的空位的组态的可数集合。利用Lyapunov函数的方法，我们得到了该系统遍历性的判据和其他一些性质。
We consider a one-dimensional nearest-neighbour interacting particle system, which is a mixture of the simple exclusion process and the voter model. The state space is taken to be the countable set of the configurations that have a finite number of particles to the right of the origin and a finite number of empty sites to the left of it. We obtain criteria for the ergodicity and some other properties of this system using the method of Lyapunov functions.