有偏随机选民模型中的拉伸指数松弛
Stretched Exponential Relaxation in the Biased Random Voter Model
摘要：
研究了具有独立同分布的选举模型的松弛性质。随机偏差我们证明了在温和的条件下，这种有偏随机选民模型的无序平均松弛比拉伸指数与指数$d/(d+α)$，其中$0<α\le 2$依赖于无偏选民模型的转移率更快。在一个额外的假设下，我们证明了上述上界是最优的。我们证明的主要成分是Donsker和Varadhan（1979）的一个结果。
英文摘要：
We study the relaxation properties of the voter model with i.i.d. random bias. We prove under mild condions that the disorder-averaged relaxation of this biased random voter model is faster than a stretched exponential with exponent $d/(d+α)$, where $0<α\le 2$ depends on the transition rates of the non-biased voter model. Under an additional assumption, we show that the above upper bound is optimal. The main ingredient of our proof is a result of Donsker and Varadhan (1979).
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