Abstract
We apply the previous results to random walks in products of algebraic reductive groups over local fields. We prove the Law of Large Numbers for both the Iwasawa cocycle and the Cartan projection. We prove also the regularity of the Lyapunov vector.
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Benoist, Y., Quint, JF. (2016). Random Walks on Reductive Groups. In: Random Walks on Reductive Groups. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, vol 62. Springer, Cham. https://doi.org/10.1007/978-3-319-47721-3_10
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DOI: https://doi.org/10.1007/978-3-319-47721-3_10
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-47719-0
Online ISBN: 978-3-319-47721-3
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