Regular sequences and random walks in affine buildings
Annales de l'Institut Fourier, Volume 65 (2015) no. 2, p. 675-707

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.

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.

DOI : https://doi.org/10.5802/aif.2941
Classification:  20E42,  51E24,  05C81,  60J10
Keywords: Affine building, CAT(0), multiplicative ergodic theorem, random walks, regular sequences
@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},
     publisher = {Association des Annales de l'institut Fourier},
     volume = {65},
     number = {2},
     year = {2015},
     pages = {675-707},
     doi = {10.5802/aif.2941},
     language = {en},
     url = {http://www.numdam.org/item/AIF_2015__65_2_675_0}
}
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://www.numdam.org/item/AIF_2015__65_2_675_0/

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