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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2605.20115 |
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| _version_ | 1866916028651405312 |
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| author | Gloria, Antoine Qi, Siguang |
| author_facet | Gloria, Antoine Qi, Siguang |
| contents | We study the random conductance model on the lattice $\Z^d$, i.e. we consider a linear, finite-difference, divergence-form operator with random conductances $a$. We allow the conductances $a$ to be unbounded and degenerate. Assuming the conductances satisfy a spectral-gap inequality, we establish sharp bounds on the spatial growth of correctors, together with a quantitative relation between the stochastic integrability of the correctors and that of $a$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_20115 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Moment bounds on correctors for the degenerate random conductance model Gloria, Antoine Qi, Siguang Probability Analysis of PDEs 35R60, 35B27, 35B65, 60H07 We study the random conductance model on the lattice $\Z^d$, i.e. we consider a linear, finite-difference, divergence-form operator with random conductances $a$. We allow the conductances $a$ to be unbounded and degenerate. Assuming the conductances satisfy a spectral-gap inequality, we establish sharp bounds on the spatial growth of correctors, together with a quantitative relation between the stochastic integrability of the correctors and that of $a$. |
| title | Moment bounds on correctors for the degenerate random conductance model |
| topic | Probability Analysis of PDEs 35R60, 35B27, 35B65, 60H07 |
| url | https://arxiv.org/abs/2605.20115 |