4 papers
math.PR2026
Limit theorems for a strongly irreducible product of independent random matrices under optimal moment assumptions
Axel Péneau
Let be a probability distribution over the semi-group of square matrices of size over a locally compact field , \textit{e.g.} . We consider t…
math.PR2026
Convergence to Stable Laws for Products of Random Matrices
Axel Péneau
Under reasonable algebraic assumptions and under an infinite second order moment assumption, we show that the logarithm of the norm (log-norm) of a product of random i.i.d. matrice…
math.PR2025
Transient random walks on the space of lattices
Axel Péneau, Cagri Sert
Given , we construct a Zariski-dense random walk on the space of lattices SLSL that exhibits escape of mass. This negates the suggestion of…
math.PR2024
Limit theorems for a strongly irreducible product of independent random matrices under optimal moment assumptions
Axel Péneau
Let be a probability distribution over the linear semi-group for a finite dimensional vector space over a locally compact field. We assume that $ ν…