Approximation Schemes for Path Integration on Riemannian Manifolds
Differential Geometry
2022-01-28 v2 Functional Analysis
Probability
Abstract
In this paper, we prove a finite dimensional approximation scheme for the Wiener measure on closed Riemannian manifolds, establishing a generalization for -functionals, of the approach followed by Andersson and Driver on [1]. We follow a new approach motived by categorical concept of colimit.
Cite
@article{arxiv.2106.13905,
title = {Approximation Schemes for Path Integration on Riemannian Manifolds},
author = {Juan Carlos Sampedro},
journal= {arXiv preprint arXiv:2106.13905},
year = {2022}
}