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math.PR2026
Local limit theorem for the operator norm of products of random matrices
Ion Grama, Jean-François Quint, Hui Xiao
We prove a local limit theorem for the quantity , where is a sequence of independent and identically distributed random invertible square m…
math.PR2020★ 13 cited
A zero-one law for invariant measures and a local limit theorem for coefficients of random walks on the general linear group
Ion Grama, Jean-François Quint, Hui Xiao
We prove a zero-one law for the stationary measure for algebraic sets generalizing the results of Furstenberg [13] and Guivarc'h and Le Page [20]. As an application, we establish a…