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arXiv · 2008.10116

Octonionic Brownian Windings

Gunhee Cho·Guang Yang
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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.

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Gunhee Cho, Guang Yang. 2020-08-23. Octonionic Brownian Windings. https://arxiv.org/abs/2008.10116

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