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- W3084425321 abstract "We define and study the three-dimensional windings along Brownian paths in the quaternionic Euclidean, projective and hyperbolic 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. The corresponding asymptotic law seems to be new and is related to the Cauchy relativistic distribution." @default.
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- W3084425321 date "2020-09-08" @default.
- W3084425321 modified "2023-10-14" @default.
- W3084425321 title "Quaternionic Brownian Windings" @default.
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- W3084425321 doi "https://doi.org/10.1007/s10959-020-01034-9" @default.
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