English

Wiener distribution on holonomy groups

Differential Geometry 2026-01-06 v3 Probability

Abstract

This paper proves a convergence theorem for the push-forward Wiener measures on holonomy groups via stochastic parallel transports along convergent metric connections.

Keywords

Cite

@article{arxiv.2507.19020,
  title  = {Wiener distribution on holonomy groups},
  author = {Yuguang Zhang},
  journal= {arXiv preprint arXiv:2507.19020},
  year   = {2026}
}
R2 v1 2026-07-01T04:18:22.650Z