Stability of heat kernel bounds under pointed Gromov--Hausdorff convergence
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917421099515904 |
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| author | Chen, Aobo |
| author_facet | Chen, Aobo |
| contents | We construct a conservative and strongly local regular symmetric Dirichlet form on the pointed Gromov--Hausdorff limit space and demonstrate the stability of heat kernel estimates under this convergence. Furthermore, we establish the Mosco convergence of the associated energy forms along a subsequence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_19047 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stability of heat kernel bounds under pointed Gromov--Hausdorff convergence Chen, Aobo Metric Geometry Functional Analysis Primary 53C23, 60J60, secondary 35K08, 60J46 We construct a conservative and strongly local regular symmetric Dirichlet form on the pointed Gromov--Hausdorff limit space and demonstrate the stability of heat kernel estimates under this convergence. Furthermore, we establish the Mosco convergence of the associated energy forms along a subsequence. |
| title | Stability of heat kernel bounds under pointed Gromov--Hausdorff convergence |
| topic | Metric Geometry Functional Analysis Primary 53C23, 60J60, secondary 35K08, 60J46 |
| url | https://arxiv.org/abs/2411.19047 |