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math.PR2023
Local limit theorems for random walks on nilpotent Lie groups
Timothée Bénard, Emmanuel Breuillard
We establish the (non-lattice) local limit theorem for products of i.i.d. random variables on an arbitrary simply connected nilpotent Lie group , where the variables are allowed…
math.PR2023
The central limit theorem on nilpotent Lie groups
Timothée Bénard, Emmanuel Breuillard
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. Two new p…