39 citations · 237 across the 48 of their papers we have counts for
56 papers
On the tails of the invariant measure for multidimensional affine stochastic recursions in the critical case
Ion Grama, Sebastian Mentemeier, Hui Xiao
We study the behavior at infinity of the invariant Radon measure for the multidimensional affine stochastic recursion where are positi…
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…
Strong non-arithmeticity for Zariski dense subsemigroups
Ion Grama, Jean-François Quint, Hui Xiao
We prove a non-arithmeticity property for the complex eigenvalues of a Zariski dense subsemigroups of real reductive algebraic groups. This property will be used in [7] in order to…
Local limit theorems for conditioned random walks by the heat kernel approximation
Ion Grama, Hui Xiao
We study the random walk with independent and identically distributed real-valued increments having zero mean and an absolute moment of order for some $δ>…
Spinal decomposition, martingale convergence and the Seneta-Heyde scaling for matrix branching random walks
Ion Grama, Sebastian Mentemeier, Hui Xiao
We consider a matrix branching random walk on the semi-group of nonnegative matrices, where we are able to derive, under general assumptions, an analogue of Biggins' martingale con…
Limit theorems for critical branching processes in a finite state space Markovian environment
Ion Grama, Ronan Lauvergnat, Émile Le Page
Let be a critical branching process in a random environment defined by a Markov chain with values in a finite state space . Let $ S_n…