5 papers
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…
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…
Directional counting for regular languages
Rostislav Grigorchuk, Jean-François Quint
We explain how certain tools from convex analysis and probability theory may be used in order to obtain counting results for the number of words with prescribed frequencies of lett…
How far are p-adic Lie groups from algebraic groups?
Yves Benoist, Jean-François Quint
We show that, in a weakly regular -adic Lie group , the subgroup spanned by the one-parameter subgroups of admits a Levi decomposition. As a consequence, there exis…
Central limit theorem for linear groups
Yves Benoist, Jean-François Quint
We prove a central limit theorem for random walks with finite variance on linear groups.