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20172026
most citedA zero-one law for invariant measures and a local limit theorem for coefficients of random walks on the general linear group

13 citations · 53 across the 20 of their papers we have counts for

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Showing 2024Show all

3 papers · 1 filter

math.PR2024

Gaussian heat kernel asymptotics for conditioned random walks

Ion Grama, Hui Xiao

Consider a random walk with independent and identically distributed real-valued increments with zero mean, finite variance and moment of order for so…

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…