no. 2
Regular sequences and random walks in affine buildings
[Suites régulières et marches aléatoires dans les immeubles affines]
Parkinson, James1 ; Woess, Wolfgang2
1 School of Mathematics and Statistics University of Sydney Carslaw Building, F07 NSW, 2006 (Australia)
2 Institut für Mathematische Strukturthorie Technische Universität Graz Steyrergasse 30 8010 Graz (Austria)
Annales de l'Institut Fourier, Tome 65 (2015) no. 2, pp. 675-707.

On donne la définition et des caractérisations de suites régulières dans les immeubles affines. Ce faisant, on obtient l’analogue p-adique du travail fondamental de Kaimanovich sur les suites régulières dans les espaces symétriques. Comme application, nous démontrons des théorèmes limite pour des marches aléatoires dans les immeubles affines et leurs groupes d’automorphismes.

We define and characterise regular sequences in affine buildings, thereby giving the p-adic analogue of the fundamental work of Kaimanovich on regular sequences in symmetric spaces. As applications we prove limit theorems for random walks on affine buildings and their automorphism groups.

DOI : 10.5802/aif.2941
Classification : 20E42, 51E24, 05C81, 60J10
Keywords: Affine building, CAT(0), multiplicative ergodic theorem, random walks, regular sequences
Mot clés : Immeuble affine, CAT(0), théorème ergodique multiplicatif, marches aléatoires, suites régulières

Parkinson, James 1 ; Woess, Wolfgang 2

1 School of Mathematics and Statistics University of Sydney Carslaw Building, F07 NSW, 2006 (Australia)
2 Institut für Mathematische Strukturthorie Technische Universität Graz Steyrergasse 30 8010 Graz (Austria) 
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Parkinson, James; Woess, Wolfgang. Regular sequences and random walks in affine buildings. Annales de l'Institut Fourier, Tome 65 (2015) no. 2, pp. 675-707. doi : 10.5802/aif.2941. https://aif.centre-mersenne.org/articles/10.5802/aif.2941/

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