Octonionic Brownian Windings

Gunhee Cho () and Guang Yang ()
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Gunhee Cho: University of California, Santa Barbara
Guang Yang: University of Connecticut

Journal of Theoretical Probability, 2022, vol. 35, issue 3, 1956-1973

Abstract: Abstract We define and study windings along Brownian paths on 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 flat and spherical geometries while the hyperbolic winding exhibits different long-time behavior.

Keywords: Bownian motion; Octonion; Stochastic winding; 58J65; 60J60 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s10959-021-01127-z

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