Isotropic random walks in a building of type Ãd

Mathematische Zeitschrift

Volumn 247, Issue 1, 2004, Pages 101-135

  Cartwright, Donald I ^a   Woess, Wolfgang ^b  

^a UNIVERSITY OF SYDNEY   (Australia)

^b GRAZ UNIVERSITY OF TECHNOLOGY   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 2442487909     PISSN: 00255874     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00209-003-0623-y     Document Type: Article

References (25)

1. Ballmann, W.: Lectures on spaces of nonpositive curvature. Birkhäuser Verlag, 1995
2. Bougerol, P.: Comportement asymptotique des puissances de convolution d'une probabilité sur un espace symétrique. Astérisque 74, 29-45 (1980)
3. Bougerol, P.: Théorème central limite local sur certains groupes de Lie. Ann. scient. Éc. Norm. Sup. 14, 403-432 (1981)
4. Brown, K.S.: Buildings. Springer-Verlag, Berlin, New York, 1989
5. Cartier, P.: Representations of p-adic groups: a survey. Proc. Symposia Pure Math. 33(1), 111-155 (1979)
6. n. Proceedings of a conference "Random walks and discrete potential theory". Cortona, Italy, 22-28 June, 1997
7. n. Monatsh. Math. 133, 93-109 (2001)
8. Cartwright, D.I., Młotkowski, W.: Harmonic analysis for groups acting on triangle buildings. J. Austral. Math. Soc. 56, 345-383 (1994)
9. Cartwright, D.I., Soardi, P.M.: Convergence to ends for random walks on the automorphism group of a tree. Proc. Amer. Math. Soc. 107, 817-823 (1989)
10. Chung, K.L.: Markov Chains with stationary transition probabities. Grundlehren der mathemathischen Wissenschaften 104, Springer Verlag, 1967
11. Derriennic, Y.: Quelques applications du théorème ergodique sous-additif. Astérisque 74, 183-201 (1980)
12. Furstenberg, H.: Noncommuting random products. Trans. Amer. Math. Soc. 108, 377-428 (1963)
13. Guivarc'h, Y.: Sur la loi des grands nombres et le rayon spectral d'une marche aléatoire. Astérisque 74, 47-98 (1980)
14. Karlsson,A., Margulis, G.: A multiplicative ergodic theorem and nonpositively curved spaces. Comm. Math. Phys. 208, 107-123 (1999)
15. Lindlbauer, M., Voit, M.: Limit theorems for isotropic random walks on triangle buildings. J. Austral. Math. Soc. 73, 301-333 (2002)
16. Macdonald, I.G.: Spherical functions on a group of p-adic type. Ramanujan Inst. Publications 2, University of Madras, 1971
17. Macdonald, I.G.: Symmetric functions and Hall polynomials. second edition, Oxford University Press, 1995
18. Ronan, M.: Lectures on buildings. Academic Press, 1989
19. Ronan, M.: Building buildings. Math. Ann. 278, 291-306 (1987)
20. Saloff-Coste, L., Woess, W.: Transition operators, groups, norms, and spectral radii. Pacific J. Math. 180, 333-367 (1997)
21. Sawyer, S.: Isotropic random walks in a tree. Z. Wahrscheinlichkeitsth. verw. Geb. 42, 279-292 (1978)
22. Steger, T.: Local fields and buildings. Harmonic functions on trees and buildings (New York 1995), Contemp. Math. 206, Amer. Math. Soc., Providence, RI, 1997, pp. 79-107
23. Tolli, F.: A local limit theorem on certain p-adic groups and buildings. Monatsh. Math. 133, 163-173 (2001)
24. Tutubalin, V.N.: Limit theorems for a product of random matrices. Teor. Verojatnost. i Primenen. 10, 19-32 (1965)
25. Woess, W.: Random walks on infinite graphs and groups. Cambridge Tracts in Mathematics 138, Cambridge University Press, 2000