Octonionic Brownian Windings
Probability
2021-08-24 v2
Abstract
We define and study the windings along Brownian paths in the octonionic Euclidean, projective and hyperbolic spaces which are isometric to 8-dimensional Riemannian model spaces. In particular, the asymptotic laws of these windings are shown to be Gaussian for the flat and spherical geometries while the hyperbolic winding exhibits a different long time-behavior.
Keywords
Cite
@article{arxiv.2008.10116,
title = {Octonionic Brownian Windings},
author = {Gunhee Cho and Guang Yang},
journal= {arXiv preprint arXiv:2008.10116},
year = {2021}
}
Comments
To appear in Journal of Theoretical Probability