The central limit theorem on nilpotent Lie groups

We formulate and establish the central limit theorem for products of i.i.d. random variables on arbitrary simply connected nilpotent Lie groups, allowing a possible bias. We find that some interesting new phenomena arise in the presence of a bias: the walk spreads out at a higher rate in the ambient...

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Bibliographic Details
Main Authors: Benard, T, Breuillard, E
Format: Journal article
Language:English
Published: Institute of Mathematical Statistics 2024