Kaimanovich, Vadim A. The Poisson boundary of polycyclic groups. (English) Zbl 0834.60011 Fascicule de probabilités. Séminaire de probabilités, Université de Rennes, France, année 1994. Rennes: Université de Rennes, IRMAR, Publ. Inst. Rech. Math. Rennes. Exp. 3, 14 p. (1994). Summary: The Poisson boundary for measures with a finite first moment on polycyclic groups is shown to coincide with the corresponding contracting nilpotent Lie group. The proof is based on using a geometric “strip criterion” of boundary maximality due to the author and a simple estimate of the “neutral component” of the random walk.For the entire collection see [Zbl 0828.00015]. MSC: 60B15 Probability measures on groups or semigroups, Fourier transforms, factorization Keywords:Poisson boundary for measures; polycyclic groups; Lie group PDFBibTeX XMLCite \textit{V. A. Kaimanovich}, in: Fascicule de probabilités. Séminaire de probabilités, Université de Rennes, France, année 1994. Rennes: Université de Rennes, IRMAR. Exp. 3, 14 p. (1994; Zbl 0834.60011)