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On laws of large numbers for random walks
KTH, Skolan för teknikvetenskap (SCI), Matematik (Inst.), Matematik (Avd.).
2006 (engelsk)Inngår i: Annals of Probability, ISSN 0091-1798, E-ISSN 2168-894X, Vol. 34, nr 5, s. 1693-1706Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

We prove a general noncommutative law of large numbers. This applies in particular to random walks on any locally finite homogeneous graph, as well as to Brownian motion on Riemannian manifolds which admit a compact quotient. It also generalizes Oseledec's multiplicative ergodic theorem. In addition, we show that epsilon-shadows of any ballistic random walk with finite moment on any group eventually intersect. Some related results concerning Coxeter groups and mapping class groups are recorded in the last section.

sted, utgiver, år, opplag, sider
2006. Vol. 34, nr 5, s. 1693-1706
Emneord [en]
law of large numbers, random walk, multiplicative ergodic theorem, horofunctions, boundary, trees
Identifikatorer
URN: urn:nbn:se:kth:diva-16172DOI: 10.1214/009117906000000296ISI: 000242464000003Scopus ID: 2-s2.0-33845256078OAI: oai:DiVA.org:kth-16172DiVA, id: diva2:334214
Merknad
QC 20100525Tilgjengelig fra: 2010-08-05 Laget: 2010-08-05 Sist oppdatert: 2017-12-12bibliografisk kontrollert

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