Homogenization theory of random walks in degenerate random environment
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915234570043392 |
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| author | Andres, Sebastian |
| author_facet | Andres, Sebastian |
| contents | Recent progress on the understanding of the Random Conductance Model is reviewed. A particular emphasis is on homogenization results such as functional central limit theorems, local limit theorems and heat kernel estimates for almost every realization of the environment, established for random walks among stationary ergodic conductances that are possibly unbounded but satisfy certain moment conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_06690 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Homogenization theory of random walks in degenerate random environment Andres, Sebastian Probability Primary 60K37, 60F17, secondary 80M40, 82B43 Recent progress on the understanding of the Random Conductance Model is reviewed. A particular emphasis is on homogenization results such as functional central limit theorems, local limit theorems and heat kernel estimates for almost every realization of the environment, established for random walks among stationary ergodic conductances that are possibly unbounded but satisfy certain moment conditions. |
| title | Homogenization theory of random walks in degenerate random environment |
| topic | Probability Primary 60K37, 60F17, secondary 80M40, 82B43 |
| url | https://arxiv.org/abs/2504.06690 |