Characterization of foliations via disintegration maps
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866910193158193152 |
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| author | Münch, Florentin Possobon, Renata Rodrigues, Christian S. |
| author_facet | Münch, Florentin Possobon, Renata Rodrigues, Christian S. |
| contents | In this paper, we present a novel approach for analyzing the relationship between the supports of conditional measures and their geometric arrangement in Wasserstein space via the disintegration map. Our method establishes criteria to determine when such conditional measures arise from a metric measure foliation. Additionally, we provide a example demonstrating how this framework can be applied to study perturbations of disintegration-induced foliations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_14209 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Characterization of foliations via disintegration maps Münch, Florentin Possobon, Renata Rodrigues, Christian S. Metric Geometry Dynamical Systems Probability In this paper, we present a novel approach for analyzing the relationship between the supports of conditional measures and their geometric arrangement in Wasserstein space via the disintegration map. Our method establishes criteria to determine when such conditional measures arise from a metric measure foliation. Additionally, we provide a example demonstrating how this framework can be applied to study perturbations of disintegration-induced foliations. |
| title | Characterization of foliations via disintegration maps |
| topic | Metric Geometry Dynamical Systems Probability |
| url | https://arxiv.org/abs/2509.14209 |