Octonionic Brownian windings

DOI10.1007/s10959-021-01127-zzbMath1498.58024arXiv2008.10116OpenAlexW3195892537MaRDI QIDQ2079158

Gunhee Cho, Guang Yang

Publication date: 29 September 2022

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.10116

zbMATH Keywords

Brownian motionoctonionstochastic winding

Mathematics Subject Classification ID

Diffusion processes (60J60) Diffusion processes and stochastic analysis on manifolds (58J65)

Cites Work

• Sub-Riemannian geometry of parallelizable spheres
• Riemannian submersions with totally geodesic fibers
• Stochastic areas, winding numbers and Hopf fibrations
• Skew-product decompositions of Brownian motions on manifolds: A probabilistic aspect of the Lichnerowicz--Szabo theorem
• The subelliptic heat kernel of the octonionic anti-de Sitter fibration
• Function theories in Cayley-Dickson algebras and number theory
• The subelliptic heat kernel of the octonionic Hopf fibration
• The Radon transform on Euclidean spaces, compact two-point homogeneous spaces and Grassmann manifolds
• Loi de l'indice du lacet Brownien, et distribution de Hartman-Watson
• The octonions
• Asymptotic windings of Brownian motion paths on Riemann surfaces
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