Quenched invariance principle for biased random walks in random conductances in the sub-ballistic regime
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866913474682028032 |
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| author | Fribergh, Alexander Lions, Tanguy Scali, Carlo |
| author_facet | Fribergh, Alexander Lions, Tanguy Scali, Carlo |
| contents | We consider a biased random walk in positive random conductances on $\mathbb{Z}^d$ for $d\geq 5$. In the sub-ballistic regime, we prove the quenched convergence of the properly rescaled random walk towards a Fractional Kinetics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_07825 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Quenched invariance principle for biased random walks in random conductances in the sub-ballistic regime Fribergh, Alexander Lions, Tanguy Scali, Carlo Probability 60K37, 60F17, 60K50, 60G22 We consider a biased random walk in positive random conductances on $\mathbb{Z}^d$ for $d\geq 5$. In the sub-ballistic regime, we prove the quenched convergence of the properly rescaled random walk towards a Fractional Kinetics. |
| title | Quenched invariance principle for biased random walks in random conductances in the sub-ballistic regime |
| topic | Probability 60K37, 60F17, 60K50, 60G22 |
| url | https://arxiv.org/abs/2210.07825 |