no. 2
The Poisson Boundary of Polycyclic Groups
Publications de l'Institut de recherche mathématiques de Rennes, no. 2 (1994), article no. 3, 14 p. 
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     pages = {1--14},
     publisher = {D\'epartement de Math\'ematiques et Informatique, Universit\'e de Rennes},
     number = {2},
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Kaimanovich, Vadim A. The Poisson Boundary of Polycyclic Groups. Publications de l'Institut de recherche mathématiques de Rennes, no. 2 (1994), article  no. 3, 14 p. http://archive.numdam.org/item/PSMIR_1994___2_A3_0/

1. A. Ancona, "Théorie du potentiel sur les graphes et les variétés", Springer Lecture Notes in Math. 1427 (1990), 4-112. | MR | Zbl

2. L. Auslander, "An exposition of the structure of solvmanifolds", Bull Amer. Math. Soc. 79 (1973), 227-285. | MR | Zbl

3. R. Azencott, Espaces de Poisson des groupes localement compacts, (Springer, Berlin, 1970, Lecture Notes in Math. 148). | MR | Zbl

4. H. Furstenberg, "A Poisson formula for semi-simple Lie groups", Ann. of Math. 77 (1963), 335-386. | MR | Zbl

5. R. W. Goodman, Nilpotent Lie Groups (Springer, Berlin, 1976, Lecture Notes in Math. 562). | MR | Zbl

6. V. A. Kaimanovich, "An entropy criterion for maximality of the boundary of random walks on discrete groups", Soviet Math. Dokl. 31 (1985), 193-197. | MR | Zbl

7. V. A. Kaimanovich, "Brownian motion and harmonic functions on covering manifolds. An entropy approach", Soviet Math. Dokl. 33 (1986), 812-816. | MR | Zbl

8. V. A. Kaimanovich, "Boundaries of random walks on polycyclic groups and the law of large numbers for solvable Lie groups", Vestnik Leningrad University: Mathematics 20:4 (1987), 49-52. | MR | Zbl

9. V. A. Kaimanovich, "Poisson boundaries of random walks on discrete solvable groups", in Probability Measures on Groups X , ed. H. Heyer (Plenum, New York, 1991), 205-238. | MR | Zbl

10. V. A. Kaimanovich, "The Poisson boundary of hyperbolic groups", C.R. Ac. Sci. Paris 318 (1994), 59-64. | MR | Zbl

11. V. A. Kaimanovich, "An introduction to boundary theory of invariant Markov operators", in Proceedings of the Conference on Algebraic and Number Theoretic Aspects of Ergodic Theory (Warwick, 1994), to appear.

12. V. A. Kaimanovich and A. M. Vershik, "Random walks on discrete groups: boundary and entropy", Ann. Prob. 11 (1983), 457-490. | MR | Zbl

13. F. Ledrappier, "Poisson boundaries of discrete groups of matrices", Israel J. Math. 50 (1985), 319-336. | MR | Zbl

14. T. Lyons, "Random thoughts on reversible potential theory", in Summer School on Potential Theory (Joensuu, 1990), ed. Ilpo Laine (Joensuu Publ. in Sciences 26, 1992), 71-114. | MR | Zbl

15. T. Lyons and D. Sullivan, "Function theory, random paths and covering spaces", J. Diff. Geom., 19 (1984), 299-323. | MR | Zbl

16. A. Raugi, "Fonctions harmoniques sur les groupes localement compacts à base dénombrable", Bull. Soc. Math. France. Mémoire 54 (1977), 5-118. | EuDML | Numdam | MR | Zbl

17. D. Segal, Polycyclic groups (Cambridge University Press, 1983, Cambridge Tracts in Math. 82). | MR | Zbl