Characterization of foliations via disintegration maps
Metric Geometry
2026-05-07 v2 Dynamical Systems
Probability
Abstract
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.
Keywords
Cite
@article{arxiv.2509.14209,
title = {Characterization of foliations via disintegration maps},
author = {Florentin Münch and Renata Possobon and Christian S. Rodrigues},
journal= {arXiv preprint arXiv:2509.14209},
year = {2026}
}
Comments
17 pages, 4 figures