19 citations · 53 across the 13 of their papers we have counts for
15 papers
On the spectral theory of groups of automorphisms of -adic nilmanifolds
Bachir Bekka, Yves Guivarc'h
Let for prime integers Let be an -adic compact nilmanifold, equipped with the unique translation invariant probability meas…
Random matrix products when the top Lyapunov exponent is simple
Richard Aoun, Yves Guivarc'h
In the present paper, we treat random matrix products on the general linear group , where is a vector space defined on any local field, when the top Lyapunov ex…
On spectral gap properties and extreme value theory for multivariate affine stochastic recursions
Yves Guivarc'H, Emile Le Page
We consider a general multivariate affine stochastic recursion and the associated Markov chain on . We assume a natural geometric condition which implies existence o…
Spectral gap properties for linear random walks and Pareto's asymptotics for affine stochastic recursions
Yves Guivarc'H, Emile Le Page
Let be the Euclidean -dimensional space, (resp ) a probability measure on the linear (resp affine) group (resp $H= \Aff (V))$ and assume that…
On multidimensional Mandelbrot's cascades
Dariusz Buraczewski, Ewa Damek, Yves Guivarc'h +1
Let be a random variable with values in a proper closed convex cone , a random endomorphism of and a random integer. We assume that , ,…
Stable laws and spectral gap properties for affine random walks
Zhiqiang Gao, Yves Guivarc'h, Emile Le Page
We consider a general multidimensional affine recursion with corresponding Markov operator and a unique -stationary measure. We show spectral gap properties on Hölder spaces…