Absence of weak disorder for directed polymers on supercritical percolation clusters
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arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866918097722540032 |
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| author | Nitzschner, Maximilian |
| author_facet | Nitzschner, Maximilian |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_06206 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Absence of weak disorder for directed polymers on supercritical percolation clusters Nitzschner, Maximilian Probability Mathematical Physics 82B44, 82B43, 60K35 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. |
| title | Absence of weak disorder for directed polymers on supercritical percolation clusters |
| topic | Probability Mathematical Physics 82B44, 82B43, 60K35 |
| url | https://arxiv.org/abs/2205.06206 |