# Absence of weak disorder for directed polymers on supercritical percolation clusters

@inproceedings{Nitzschner2022AbsenceOW, title={Absence of weak disorder for directed polymers on supercritical percolation clusters}, author={Maximilian Nitzschner}, year={2022} }

. We study the directed polymer model on inﬁnite clusters of supercritical Bernoulli percolation containing the origin in dimensions d ⩾ 3, and prove that for almost every realization of the cluster and every strictly positive value of the inverse temperature β , the polymer is in a strong disorder phase, answering a question from Cosco, Seroussi, and Zeitouni [18].

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