论文标题
在超临界渗透簇上缺乏定向聚合物的弱混乱
Absence of weak disorder for directed polymers on supercritical percolation clusters
论文作者
论文摘要
我们研究了包含在尺寸$ d \ geq 3 $中的超临界伯努利渗透的无限簇簇的定向聚合物模型，并证明几乎每个实现群集的实现以及逆温度的每个严格积极价值，聚合物的聚合物都处于强烈的障碍阶段，从而回答了COSCO的问题，从而回答了Cosco，Serousssi和ZeSiSi 30。
We study the directed polymer model on infinite clusters of supercritical Bernoulli percolation containing the origin in dimensions $d \geq 3$, and prove that for almost every realization of the cluster and every strictly positive value of the inverse temperature, the polymer is in a strong disorder phase, answering a question from Cosco, Seroussi, and Zeitouni, see arXiv:2010.09503.
