Defines quaternionic Brownian windings and derives their asymptotic distributions: Gaussian for Euclidean/projective geometries, a novel law tied to Cauchy relativistic distribution for hyperbolic geometry.
Yor: Some aspects of Brownian motion
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Quaternionic Brownian windings
Defines quaternionic Brownian windings and derives their asymptotic distributions: Gaussian for Euclidean/projective geometries, a novel law tied to Cauchy relativistic distribution for hyperbolic geometry.