We define and characterise regular sequences in affine buildings, thereby giving the -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.
On donne la définition et des caractérisations de suites régulières dans les immeubles affines. Ce faisant, on obtient l’analogue -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.
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
@article{AIF_2015__65_2_675_0, author = {Parkinson, James and Woess, Wolfgang}, title = {Regular sequences and random walks in affine buildings}, journal = {Annales de l'Institut Fourier}, pages = {675--707}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {65}, number = {2}, year = {2015}, doi = {10.5802/aif.2941}, language = {en}, url = {http://archive.numdam.org/articles/10.5802/aif.2941/} }
TY - JOUR AU - Parkinson, James AU - Woess, Wolfgang TI - Regular sequences and random walks in affine buildings JO - Annales de l'Institut Fourier PY - 2015 SP - 675 EP - 707 VL - 65 IS - 2 PB - Association des Annales de l’institut Fourier UR - http://archive.numdam.org/articles/10.5802/aif.2941/ DO - 10.5802/aif.2941 LA - en ID - AIF_2015__65_2_675_0 ER -
%0 Journal Article %A Parkinson, James %A Woess, Wolfgang %T Regular sequences and random walks in affine buildings %J Annales de l'Institut Fourier %D 2015 %P 675-707 %V 65 %N 2 %I Association des Annales de l’institut Fourier %U http://archive.numdam.org/articles/10.5802/aif.2941/ %R 10.5802/aif.2941 %G en %F AIF_2015__65_2_675_0
Parkinson, James; Woess, Wolfgang. Regular sequences and random walks in affine buildings. Annales de l'Institut Fourier, Volume 65 (2015) no. 2, pp. 675-707. doi : 10.5802/aif.2941. http://archive.numdam.org/articles/10.5802/aif.2941/
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