加权影响的观点动力学模型：退出概率与动力学
Opinion dynamics model with weighted influence: Exit probability and dynamics
摘要：
我们引入了一个随机模型的二进制观点动力学的意见是由相邻域的大小。这里的退出概率显示了一个阶梯函数行为，表明存在一个分界线区分两个不同的区域的吸引力盆地。在一个维度上，这种行为与其他众所周知的观点动力学模型相反，在这些模型中，迄今为止还没有观察到这种行为。模型的粗化研究也产生了新的指数值。在本模型中，它涉及随机动力学，得到一个较低的持续性指数的值相比，在一个类似类型的模型与确定性动力学。这个明显违反直觉的结果通过进一步的分析得到了证明。基于这些结果，可以得出结论，该模型属于一个独特的动力学类。
英文摘要：
We introduce a stochastic model of binary opinion dynamics in which the opinions are determined by the size of the neighbouring domains. The exit probability here shows a step function behaviour indicating the existence of a separatrix distinguishing two different regions of basin of attraction. This behaviour, in one dimension, is in contrast to other well known opinion dynamics models where no such behaviour has been observed so far. The coarsening study of the model also yields novel exponent values. A lower value of persistence exponent is obtained in the present model, which involves stochastic dynamics, when compared to that in a similar type of model with deterministic dynamics. This apparently counter-intuitive result is justified using further analysis. Based on these results it is concluded that the proposed model belongs to a unique dynamical class.
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