Boundary of the braid groups and Markov--Ivanovsky normal form

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dc.creatorMalyutin, A. V.
dc.creatorVershik, A. M.
dc.date2007-07-07
dc.date2008-09-13
dc.date.accessioned2026-07-07T10:02:24Z
dc.date.available2026-07-07T10:02:24Z
dc.descriptionWe describe random walk boundaries (in particular, the Poisson--Furstenberg, or PF-boundary) for a vast family of groups in terms of the hyperbolic boundary of a special free subgroup. We prove that almost all trajectories of the random walk (with respect to an arbitrary nondegenerate measure on the group) converge to points of that boundary. This implies the stability (in the sense of \cite{Ver}) of the so-called Markov--Ivanovsky normal form for braids.
dc.descriptionP.25, Ref 21, Fig 3
dc.identifierhttps://arxiv.org/abs/0707.1109
dc.identifierhttp://arxiv.org/abs/0707.1109
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168961
dc.subjectGeometric Topology
dc.subjectGroup Theory
dc.subject37H99,60B99
dc.titleBoundary of the braid groups and Markov--Ivanovsky normal form
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