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One may also consider the case where the vertex functions are stochastic, i.e., function stochastic GDS. For example, Random Boolean networks are examples of function stochastic GDS using a synchronous update scheme and where the state space is K = {0, 1}. Finite probabilistic cellular automata (PCA) is another example of function stochastic GDS. In principle the class of Interacting particle systems (IPS) covers finite and infinite PCA, but in practice the work on IPS is largely concerned with the infinite case since this allows one to introduce more interesting topologies on state space.
 
One may also consider the case where the vertex functions are stochastic, i.e., function stochastic GDS. For example, Random Boolean networks are examples of function stochastic GDS using a synchronous update scheme and where the state space is K = {0, 1}. Finite probabilistic cellular automata (PCA) is another example of function stochastic GDS. In principle the class of Interacting particle systems (IPS) covers finite and infinite PCA, but in practice the work on IPS is largely concerned with the infinite case since this allows one to introduce more interesting topologies on state space.
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我们也可以考虑顶点函数是随机的情况,即函数是随机的 GDS。例如,随机布尔网络是函数随机 GDS 使用同步更新方案的例子,其中状态空间为 k {0,1}。有限概率细胞自动机(PCA)是功能随机 GDS 的另一个例子。原则上,相互作用粒子系统(IPS)包括有限和无限的 PCA,但实际上,IPS 的工作主要是关注无限的情况,因为这允许在状态空间中引入更多有趣的拓扑。
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我们也可以考虑顶点函数是随机的情况,即函数是随机的 GDS。例如,随机布尔网络是函数随机 GDS 使用同步更新方案的例子,其中状态空间为 k {0,1}。有限概率'''<font color="#ff8000"> 细胞自动机(PCA)</font>'''是功能随机 GDS 的另一个例子。原则上,相互作用粒子系统(IPS)包括有限和无限的 PCA,但实际上,IPS 的工作主要是关注无限的情况,因为这允许在状态空间中引入更多有趣的拓扑。
    
==Applications应用==
 
==Applications应用==
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