Limit theorems for random walks on Fuchsian buildings and Kac-Moody groups

DOI10.4171/GGD/465zbMath1409.60071arXiv1411.7496OpenAlexW2963433673MaRDI QIDQ1785956

James Parkinson, Sebastian Müller, Lorenz A. Gilch

Publication date: 21 September 2018

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.7496

zbMATH Keywords

random walklimit theoremsKac-Moody groupCannon automatonFuchsian building

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Buildings and the geometry of diagrams (51E24) Groups with a (BN)-pair; buildings (20E42) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15) Renewal theory (60K05)

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Asymptotic entropy of random walks on Fuchsian buildings and Kac-Moody groups

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