具有随机窒息的谣言过程的行为
On the behaviour of a rumour process with random stifling
摘要：
我们提出了一个现实的推广的Maki-Thompson谣言模型，假设每个传播者停止传播谣言后，参与了随机数的令人窒息的经验。我们考虑的过程与一般的初始配置和建立的渐近行为（和它的波动）的最终比例，总体规模增长到$\infty$的。我们的方法导致明确的公式，使限制的比例，可计算的方差。
英文摘要：
We propose a realistic generalization of the Maki-Thompson rumour model by assuming that each spreader ceases to propagate the rumour right after being involved in a random number of stifling experiences. We consider the process with a general initial configuration and establish the asymptotic behaviour (and its fluctuation) of the ultimate proportion of ignorants as the population size grows to $\infty$. Our approach leads to explicit formulas so that the limiting proportion of ignorants and its variance can be computed.
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