Buildings, groups of Lie type, and random walks

J. Parkinson

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arXiv · 1803.10880

Buildings, groups of Lie type, and random walks

J. Parkinson

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Abstract

In this paper we survey the theory of random walks on buildings and associated groups of Lie type and Kac-Moody groups. We begin with an introduction to the theory of Coxeter systems and buildings, taking a largely combinatorial perspective. We then survey the theory of random walks on buildings, and show how this theory leads to limit theorems for random walks on the associated groups.

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BibTeX RIS

J. Parkinson. 2018-03-28. Buildings, groups of Lie type, and random walks. https://arxiv.org/abs/1803.10880

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