A lecture on the averaging process
A lecture on the averaging process
复制标题
关于平均过程的讲座
DOI：
10.1214/11-ps184
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发表时间：
2012
影响因子：
1.6
通讯作者：
D. Lanoue
中科院分区：
文献类型：
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作者：
D. Aldous;D. Lanoue
作者：奥尔德斯，D；拉努，D |摘要：为了将相互作用的粒子系统类型模型解释为社会动力学，假设有限群体中的每对个体 {i, j} 在任意指定速率 vij 的随机时间相遇，并根据某些指定规则更新它们的状态。平均过程具有实值状态和规则：满足时，值 Xi(t-)、Xj (t-) 被替换为 1/2 (Xi(t-) + Xj (t-))、1/2 (Xi(t-) + Xj (t-))。奇怪的是，这个简单的过程还没有得到非常系统的研究。我们对基本事实和悬而未决的问题进行了解释性说明。
Author(s): Aldous, D; Lanoue, D | Abstract: To interpret interacting particle system style models as social dynamics, suppose each pair {i, j} of individuals in a finite population meet at random times of arbitrary specified rates vij, and update theirstates according to some specified rule. The averaging process has real-valued states and the rule: upon meeting, the values Xi(t-),Xj (t-) arereplaced by 1/2 (Xi(t-) + Xj (t-)), 1/2 (Xi(t-) + Xj (t-)). It is curious this simple process has not been studied very systematically. We provide an expository account of basic facts and open problems.