Mosco-convergence of Cheeger energies on varying spaces satisfying curvature dimension conditions
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917317116428288 |
|---|---|
| author | Nobili, Francesco Renzi, Federico Vitillaro, Federico |
| author_facet | Nobili, Francesco Renzi, Federico Vitillaro, Federico |
| contents | We study the Mosco-convergence of Cheeger energies on Gromov-Hausdorff converging spaces satisfying different types of curvature dimension conditions. The case of functions of bounded variation is also considered. Applications to the continuity of Neumann eigenvalues are obtained. Our method, covering possibly infinite dimensional settings, is based on a Lagrangian approach and combines the stability properties of Wasserstein geodesics with the characterization of the nonsmooth calculus in duality with test plans. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_13320 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Mosco-convergence of Cheeger energies on varying spaces satisfying curvature dimension conditions Nobili, Francesco Renzi, Federico Vitillaro, Federico Metric Geometry Functional Analysis Probability We study the Mosco-convergence of Cheeger energies on Gromov-Hausdorff converging spaces satisfying different types of curvature dimension conditions. The case of functions of bounded variation is also considered. Applications to the continuity of Neumann eigenvalues are obtained. Our method, covering possibly infinite dimensional settings, is based on a Lagrangian approach and combines the stability properties of Wasserstein geodesics with the characterization of the nonsmooth calculus in duality with test plans. |
| title | Mosco-convergence of Cheeger energies on varying spaces satisfying curvature dimension conditions |
| topic | Metric Geometry Functional Analysis Probability |
| url | https://arxiv.org/abs/2511.13320 |