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- W4294294194 abstract "We prove the cut-off phenomenon in total variation distance for the Brownian motions traced on the classical symmetric spaces of compact type, that is to say: (1) the classical simple compact Lie groups: special orthogonal groups, special unitary groups and compact symplectic groups; (2) the real, complex and quaternionic Grassmannian varieties (including the real spheres and complex or quaternionic projective spaces); (3) the spaces of structures: SU(n)/SO(n), SO(2n)/U(n), SU(2n)/USp(n), and USp(n)/U(n). In each case, we give explicit lower bounds for the total variation distance DTV(mu_t,Haar) if t < tcut-off = a log n, and explicit upper bounds if t > tcut-off. This gives in particular an answer to a question raised in recent papers by Chen and Saloff-Coste." @default.
- W4294294194 created "2022-09-02" @default.
- W4294294194 creator A5048745340 @default.
- W4294294194 date "2012-10-01" @default.
- W4294294194 modified "2023-10-16" @default.
- W4294294194 title "The cut-off phenomenon for Brownian motions on symmetric spaces of compact type" @default.
- W4294294194 doi "https://doi.org/10.48550/arxiv.1210.0480" @default.
- W4294294194 hasPublicationYear "2012" @default.
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