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math.PR2024
Conditioned random walks on linear groups II: local limit theorems
Ion Grama, Jean-François Quint, Hui Xiao
We investigate random walks on the general linear group constrained within a specific domain, with a focus on their asymptotic behavior. In a previous work [38], we constructed the…
math.PR2024
Conditioned random walks on linear groups I: construction of the target harmonic measure
Ion Grama, Jean-François Quint, Hui Xiao
Our objective is to explore random walks on the general linear group, constrained to a specific domain, with a primary focus on establishing the conditioned local limit theorem. Th…